Search for: Let f be a function defined on R by f(x)=limn→∞ log(3+x)−x2nsinx1+x2n then Let f be a function defined on R by f(x)=limn→∞ log(3+x)−x2nsinx1+x2n then Af is continuous on RBf is continuous on R ~{–1,1}Cf is continuous on R ~{0}Dnone of these 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:If |x|<1 then x2n→0 as n→∞ and if |x|>11/x2n→0 as n→∞ . So f(x)=log(3+x) for −1<x<1−sinx for x>1 or x<−112[log(3+x)−sinx] for x=1,−1limx→1+ f(x)=−sin1,limx→1− f(x)=log4limx→−1+ f(x)=log2,limx→1− f(x)=sin1so fis continuous on R~{−1,1} 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