Search for: Let f:R→[0,∞] be such that limx→3 f(x)exists and limx→3 (f(x))2−4|x−3|=1 Then limx→3 f(x) equal Let f:R→[0,∞] be such that limx→3 f(x)exists and limx→3 (f(x))2−4|x−3|=1 Then limx→3 f(x) equal A0B1C2D3 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:Since, limx→3 (f(x))2−4|x−3|=1 Sofor ϵ=1 there is δ>0 such that0<f(x)2−9|x−5|<2 whenever 0<|x−3|<δ⇒0<f(x)−2<2|x−3|f(x)+2 whenever 0<|x−3|<δSince the range of f is [0,∞] so limx→3 (f(x)+2)≠0 and exists. Thus 0≤limx→3 (f(x)−2)≤0⇒limx→3 f(x)=2 Related content Raidas ke Pad Class 9 CBSE Class 11 English Core Writing and Grammar – Tenses Worksheet Top 10 Maths Project for Class 6 Class 10 Maths MCQs How to Download NTA NEET Admit Card 2024 Rashi And Nakshatra Quiz CBSE MCQ for Class 10 Science Genes – Definition, Structure, Diagram and its Types Octal to Binary Converter Km to cm Conversion