Search for: If f(x)=|x+2|tan−1(x+2),x≠−22,x=−2, then f(x), is If f(x)=|x+2|tan−1(x+2),x≠−22,x=−2, then f(x), is Acontinuous at x = - 2Bnot continuous at x = - 2Cdifferentiable at x = - 2Dcontinuous but not derivable at x = - 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→−2− f(x)=limx→−2− |x+2|tan−1(x+2)=limx→−2− −(x+2)tan−1(x+2)=−1and,limx→−2+ f(x)=limx→−2+ |x+2|tan−1(x+2)=limx→−2+ x+2tan−1(x+2)=1∴ limx→−2− f(x)≠limx→−2+ f(x)..So, f(x) is neither continuous nor differentiable at x=-2. 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