Search for: limx→∞ xnex=0,(n integer), for limx→∞ xnex=0,(n integer), for Ano value of nBall values of nConly negative values of nDonly positive values of n 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 n is a negative integer, then n=-m, where m∈N.∴limx→∞ xnex=limx→∞ x−mex=limx→∞ 1xmex=0If n=0, thenIf n∈N, then,limx→∞ xnex=limx→∞ n!ex=0 [By L' Hospital's Rule]Hence, limx→∞ xnex=0 for all values of n. Related content MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had CBSE Class 9 Tissue MCQs Female Reproductive System Diagram Class 10 NCERT Solutions for Class 11 English Reading Skills Chapter 1 The Portrait of a Lady 50+ Simple GK Questions and Answers for Class 8 Animal Cell Diagram Class 9 Preparation Strategy for NEET Repeaters CBSE Power Sharing Class 10 MCQs Political Science Chapter 1 How to Self Study for NEET Dropper at Home? CBSE Class 9 English Wind Worksheet