Search for: If limn→∞ n⋅3nn(x−2)n+n⋅3n+1−3n=13, where n∈N, then the number of integer (s) in the range of x, is If limn→∞ n⋅3nn(x−2)n+n⋅3n+1−3n=13, where n∈N, then the number of integer (s) in the range of x, is A3B4C5Dinfinite Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:We have, limn→∞ n⋅3nn(x−2)n+n⋅3n+1−3n=13⇒ limn→∞ 1x−23n+3−1n=13⇒ −1<x−23<1⇒−3<x−2<1⇒−1<x<5 Hence, the possible integer values of x are 0, 1, 2, 3 and 4. Related content Class 9 Science MCQ Chapter 12 Sound CBSE Class 12 English MCQ with Answers (Flamingo & Vistas) CBSE Class 7 Science MCQ Questions with Answers CBSE Class 12 Subject Wise MCQ 2024-25 ICSE Class 10 Toppers List 2024 Available Tenses Worksheet for Class 10 CBSE Class 7 Science Chapter 4 Heat MCQ Questions with Answers Nephron Diagram Class 10 CBSE Class 7 Science Chapter 2 Nutrition in Animals MCQ with Answers Rabindranath Tagore Jayanti 2024