Search for: Let f(x) be twice differentiable function such that f′′(0)=2. Then, limx→0 2f(x)−3f(2x)+f(4x)x2, is Let f(x) be twice differentiable function such that f′′(0)=2. Then, limx→0 2f(x)−3f(2x)+f(4x)x2, is A6B3C12Dnone 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,limx→0 2f(x)−3f(2x)+f(4x) x2 00 form =limx→0 2f′(x)−6f′(2x)+4f′(4x)2x [Using L' Hospital's Rule] =limx→0 2f′′(x)−12f′′(2x)+16f′′(4x)2 [Using L' Hospital's Rule] = 2f′′(0)−12f′′(0)+16f′′(0)2= 3f′′(0)=3×2=6 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