Search for: The value of limx→0 cos(sinx)−cosxx4 is equal to The value of limx→0 cos(sinx)−cosxx4 is equal to A1/5B1 /6C1 / 4D1 / 2 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, limx→0 cos(sinx)−cosxx4=limx→0 2sinx+sinx2sinx−sinx2x4=2limx→0 sinx+sinx2x+sinx2×sinx−sinx2x−sinx2×x+sinx2xx−sinx2x3 =2limx→0 sinx+sinx2x+sinx 2×sinx−sinx2x−sinx ×12+sinx2xx−sinx2x3=2×1×1×12+12limx→0 x−sinx2x3=2limx→0 x−sinx2x3=limx→0 x−sinxx3=limx→0 x−x−x33!+x55!⋯x3=limx→0 13+x25!…=13!=16 Related content Nucleus Diagram for Class 9 Neuron Diagram Class 9 Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken 50+ GK Questions and Answers for Class 8 “Kabir Ki Sakhiyan” MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had