Search for: Let R=(2+1)2n+1,n∈N, and f=R−[R], where [ ]denote the greatest integer function, Rf is equal to Let R=(2+1)2n+1,n∈N, and f=R−[R], where [ ]denote the greatest integer function, Rf is equal to A1B22n+1C22n−1Dnone 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:Let F=(2−1)2n+1. Note that 0<F<1Also, R−F=2m where m=2 2n+1C1(2)2n+2n+1C3(2)2n−2+…+2n+1C2n+1 is an integer ⇒[R]+f−F=2m⇒f−F=2m−[R] is an integer But −1<f−F<1. Thus, f−F=0∴ Rf=RF=1 Related content 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 Viram Chinh in Hindi Worksheets Class 9 with Answers MP Board Class 8 Result 2024 – MPBSE Class 8 Result (Out)