Search for: limx→∞ logx[x] where [·] denotes the greatest integer function, is limx→∞ logx[x] where [·] denotes the greatest integer function, is A0B1C-1Dnon-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:We have,x−1<[x]≤x for all x∈R⇒1x≤1[x]<1x−1 for ail x∈R−{0,1}⇒logxx≤−logx[x]<logxx−1 [∵logx>0 as x→x]⇒limx→∞ logxx≤limx→∞ logx[x]<limx≤∞ logxx−1⇒limx→∞ logx[x]=0 ∵limx→∞ logxx=limx→∞ logxx−1=i Related content Polynomials Worksheet Class 10 Acknowledgement for Project Class 9 English Modals Worksheet Who Invented Exam AP Inter Result 2024, Expected to be out on 15th April Why And How to prepare for JEE from Class 9 How to Calculate Age National Safe Motherhood Day 2024 (11th April) Class 9 English Chapter 3 Beehive The Little Girl Worksheet How to Join NDA After 12th: Eligibility, Physical Requirements, Important tips to crack NDA