Search for: If f(x)=xe−1|x|+1x,x≠00,x=0 then f is If f(x)=xe−1|x|+1x,x≠00,x=0 then f is Adiscontinuous everywhereBcontinuous and differentiable at x=0Cdifferentiable everywhereDcontinuous but not differentiable at x= 0 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:f(x)=xx<0xe−2xx>00x=0f is clearly a continuous function f′(x)=1,x<0e−2x+2xe−2x,x>0limh→0− f(0+h)−f(0)h=limh→0− hh=1limh→0+ f(0+h)−f(0)h=limh→0+ he−2hh=limh→0+ e−2h=0f is not differentiable at x = 0. Related content How to use NEET UG College Predictor 2024 to find your dream Medical College Is a Gap Certificate for NEET Repeaters Necessary? General Knowledge Questions With Answers on Islamic CBSE Class 10 Worksheets NEET Rank Predictor 2024: Calculate Your Rank by Marks Why to Choose Infinity Learn NEET Rank Predictor 2024 – The Most Accurate NEET Rank Predictor CBSE Class 10 Science MCQs CBSE Class 9 Science Structure of Atom MCQs Class 7 MCQs for All Subjects with Answers Raidas ke Pad Class 9