{"id":753336,"date":"2025-01-16T18:46:39","date_gmt":"2025-01-16T13:16:39","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=753336"},"modified":"2025-01-16T18:46:39","modified_gmt":"2025-01-16T13:16:39","slug":"class-11-maths-chapter-13-limits-and-derivatives-mcqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/mcqs\/class-11-maths\/limits-and-derivatives\/","title":{"rendered":"Class 11 Maths Chapter 13 Limits and Derivatives MCQs"},"content":{"rendered":"

Class 11 Maths<\/a><\/strong> Chapter 13, “Limits and Derivatives,” includes MCQs to help students prepare for their 2025-25 exams. These questions cover key topics from the CBSE syllabus<\/a><\/strong> and include explanations for the correct answers.<\/p>\n

The MCQs<\/a> <\/strong>are designed to help students practice, check their solutions, and strengthen their problem-solving and application skills. By solving these questions, students can better understand the concepts and improve their performance in exams.<\/p>\n

MCQs for Class 11 Maths Chapter 13 Limits and Derivatives with Answers<\/h2>\n
1. The limit of \\( \\lim_{x \\to 2} (x^2 – 4) \\) is:<\/strong><\/p>\n
    \n
  1. a) 0<\/li>\n
  2. b) 2<\/li>\n
  3. c) 4<\/li>\n
  4. d) -4<\/li>\n<\/ol>\n

    Answer:<\/strong> a<\/p>\n<\/div>\n

    2. The value of \\( \\lim_{x \\to 0} \\frac{\\sin x}{x} \\) is:<\/strong><\/p>\n
      \n
    1. a) 0<\/li>\n
    2. b) 1<\/li>\n
    3. c) Infinity<\/li>\n
    4. d) Undefined<\/li>\n<\/ol>\n

      Answer:<\/strong> b<\/p>\n<\/div>\n

      3. The limit of \\( \\lim_{x \\to \\infty} \\frac{1}{x} \\) is:<\/strong><\/p>\n
        \n
      1. a) 0<\/li>\n
      2. b) 1<\/li>\n
      3. c) Infinity<\/li>\n
      4. d) Undefined<\/li>\n<\/ol>\n

        Answer:<\/strong> a<\/p>\n<\/div>\n

        4. The value of \\( \\lim_{x \\to 0} (1 + x)^n \\) is:<\/strong><\/p>\n
          \n
        1. a) 1<\/li>\n
        2. b) \\( n \\)<\/li>\n
        3. c) \\( n + 1 \\)<\/li>\n
        4. d) Undefined<\/li>\n<\/ol>\n

          Answer:<\/strong> a<\/p>\n<\/div>\n

          5. \\( \\lim_{x \\to \\pi} \\cos x \\) equals:<\/strong><\/p>\n
            \n
          1. a) 1<\/li>\n
          2. b) -1<\/li>\n
          3. c) 0<\/li>\n
          4. d) Undefined<\/li>\n<\/ol>\n

            Answer:<\/strong> b<\/p>\n<\/div>\n

            6. \\( \\lim_{x \\to 0} \\frac{\\tan x}{x} \\) equals:<\/strong><\/p>\n
              \n
            1. a) 0<\/li>\n
            2. b) 1<\/li>\n
            3. c) Infinity<\/li>\n
            4. d) Undefined<\/li>\n<\/ol>\n

              Answer:<\/strong> b<\/p>\n<\/div>\n

              7. \\( \\lim_{x \\to 0} \\frac{1 – \\cos x}{x^2} \\) equals:<\/strong><\/p>\n
                \n
              1. a) 0<\/li>\n
              2. b) \\( \\frac{1}{2} \\)<\/li>\n
              3. c) 1<\/li>\n
              4. d) Undefined<\/li>\n<\/ol>\n

                Answer:<\/strong> b<\/p>\n<\/div>\n

                8. The value of \\( \\lim_{x \\to \\infty} \\frac{2x + 1}{3x – 4} \\) is:<\/strong><\/p>\n
                  \n
                1. a) \\( \\frac{2}{3} \\)<\/li>\n
                2. b) 1<\/li>\n
                3. c) Infinity<\/li>\n
                4. d) 0<\/li>\n<\/ol>\n

                  Answer:<\/strong> a<\/p>\n<\/div>\n

                  9. \\( \\lim_{x \\to 0} \\frac{\\ln(1 + x)}{x} \\) equals:<\/strong><\/p>\n
                    \n
                  1. a) 1<\/li>\n
                  2. b) 0<\/li>\n
                  3. c) Infinity<\/li>\n
                  4. d) Undefined<\/li>\n<\/ol>\n

                    Answer:<\/strong> a<\/p>\n<\/div>\n

                    10. \\( \\lim_{x \\to 0} \\frac{\\sqrt{1 + x} – 1}{x} \\) equals:<\/strong><\/p>\n
                      \n
                    1. a) 0<\/li>\n
                    2. b) \\( \\frac{1}{2} \\)<\/li>\n
                    3. c) 1<\/li>\n
                    4. d) Undefined<\/li>\n<\/ol>\n

                      Answer:<\/strong> b<\/p>\n<\/div>\n

                      11. A function is continuous at \\( x = a \\) if:<\/strong><\/p>\n
                        \n
                      1. a) \\( f(a) \\) is defined<\/li>\n
                      2. b) \\( \\lim_{x \\to a} f(x) = f(a) \\)<\/li>\n
                      3. c) \\( \\lim_{x \\to a} f(x) \\) exists<\/li>\n
                      4. d) All of the above<\/li>\n<\/ol>\n

                        Answer:<\/strong> d<\/p>\n<\/div>\n

                        12. The derivative of \\( f(x) = x^2 \\) is:<\/strong><\/p>\n
                          \n
                        1. a) \\( 2x \\)<\/li>\n
                        2. b) \\( x^2 \\)<\/li>\n
                        3. c) \\( x \\)<\/li>\n
                        4. d) 2<\/li>\n<\/ol>\n

                          Answer:<\/strong> a<\/p>\n<\/div>\n

                          13. The derivative of \\( f(x) = \\sin x \\) is:<\/strong><\/p>\n
                            \n
                          1. a) \\( \\cos x \\)<\/li>\n
                          2. b) \\( \\sin x \\)<\/li>\n
                          3. c) 1<\/li>\n
                          4. d) 0<\/li>\n<\/ol>\n

                            Answer:<\/strong> a<\/p>\n<\/div>\n

                            14. The derivative of \\( f(x) = e^x \\) is:<\/strong><\/p>\n
                              \n
                            1. a) \\( e^x \\)<\/li>\n
                            2. b) \\( x e^x \\)<\/li>\n
                            3. c) 1<\/li>\n
                            4. d) 0<\/li>\n<\/ol>\n

                              Answer:<\/strong> a<\/p>\n<\/div>\n

                              15. The derivative of \\( f(x) = \\ln x \\) is:<\/strong><\/p>\n
                                \n
                              1. a) \\( \\frac{1}{x} \\)<\/li>\n
                              2. b) \\( \\ln x \\)<\/li>\n
                              3. c) \\( x \\ln x \\)<\/li>\n
                              4. d) 0<\/li>\n<\/ol>\n

                                Answer:<\/strong> a<\/p>\n<\/div>\n

                                16. The slope of the tangent to the curve \\( y = x^2 \\) at \\( x = 1 \\) is:<\/strong><\/p>\n
                                  \n
                                1. a) 1<\/li>\n
                                2. b) 2<\/li>\n
                                3. c) 0<\/li>\n
                                4. d) Undefined<\/li>\n<\/ol>\n

                                  Answer:<\/strong> b<\/p>\n<\/div>\n

                                  17. The equation of the tangent to the curve \\( y = x^2 \\) at \\( x = 1 \\) is:<\/strong><\/p>\n
                                    \n
                                  1. a) \\( y = 2x – 1 \\)<\/li>\n
                                  2. b) \\( y = x^2 + 1 \\)<\/li>\n
                                  3. c) \\( y = 2x \\)<\/li>\n
                                  4. d) \\( y = x – 1 \\)<\/li>\n<\/ol>\n

                                    Answer:<\/strong> a<\/p>\n<\/div>\n

                                    18. The second derivative of \\( f(x) = x^3 \\) is:<\/strong><\/p>\n
                                      \n
                                    1. a) \\( 6x \\)<\/li>\n
                                    2. b) \\( 3x^2 \\)<\/li>\n
                                    3. c) \\( 3 \\)<\/li>\n
                                    4. d) \\( 0 \\)<\/li>\n<\/ol>\n

                                      Answer:<\/strong> a<\/p>\n<\/div>\n

                                      19. The derivative of \\( f(x) = \\tan x \\) is:<\/strong><\/p>\n
                                        \n
                                      1. a) \\( \\sec^2 x \\)<\/li>\n
                                      2. b) \\( \\cos^2 x \\)<\/li>\n
                                      3. c) \\( \\sin x \\)<\/li>\n
                                      4. d) \\( -\\sin x \\)<\/li>\n<\/ol>\n

                                        Answer:<\/strong> a<\/p>\n<\/div>\n

                                        20. The derivative of \\( f(x) = \\cos x \\) is:<\/strong><\/p>\n
                                          \n
                                        1. a) \\( -\\sin x \\)<\/li>\n
                                        2. b) \\( \\cos x \\)<\/li>\n
                                        3. c) \\( \\sin x \\)<\/li>\n
                                        4. d) 0<\/li>\n<\/ol>\n

                                          Answer:<\/strong> a<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

                                          Class 11 Maths Chapter 13, “Limits and Derivatives,” includes MCQs to help students prepare for their 2025-25 exams. These questions […]<\/p>\n","protected":false},"author":56,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 11 Maths","_yoast_wpseo_title":"Class 11 Maths MCQ \u2013 Limits and Derivatives","_yoast_wpseo_metadesc":"Practice Class 11 Maths Chapter 13 MCQs on Limits and Derivatives, designed for CBSE, ICSE, IGCSE, NCERT, and State Level Exams!","custom_permalink":"mcqs\/class-11-maths\/limits-and-derivatives\/"},"categories":[11038],"tags":[],"table_tags":[],"acf":[],"yoast_head":"\nClass 11 Maths MCQ \u2013 Limits and Derivatives<\/title>\n<meta name=\"description\" content=\"Practice Class 11 Maths Chapter 13 MCQs on Limits and Derivatives, designed for CBSE, ICSE, IGCSE, NCERT, and State Level Exams!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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