Search for: Suppose [x] denote the greatest integer ≤x and n∈N, then limn→∞ nCox2+ nC1x2+⋯+ nCnx22n−2 is equal to Suppose [x] denote the greatest integer ≤x and n∈N, then limn→∞ nCox2+ nC1x2+⋯+ nCnx22n−2 is equal to A12x2Bx2C2x2D4x2 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 know x−1<[x]≤x∀x∈R, there fore nCkx2−1< nCkx2≤nCkx2⇒ ∑k=0n nCkx2−1<∑k=0n nCkx2≤∑k=0n nCkx2⇒ x22n−(n+1)2n−2<12n−2∑k=0n nCkx2≤x22n2n−2Taking limit as n→∞ ,and using sandwich theorem, we getlimn→∞ 12n−2∑k=0n nCkx2=x2 Related content Autism Spectrum Disorder Sine and Cosine Waves Hindu Festivals List 2024 JEE Main Eligibility Criteria 2024 Session 2 (Released), Age Limits, Qualifying Marks, and Important Factor MCQs on Plant Hormones Class 10 5 Reasons To Choose The Commerce Stream After 10th Fl Words Homophones 9 Letter Words Tr Words: Check the List of Words Containing ‘Tr’