wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

limx1(1+x)(1x2)(1+x3)(1x4)....(1x4n)[(1+x)(1x2)(1+x3)(1+x4).......(1x2n)]2is equal to:


A

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A


limx1(1+x)(1x2)(1+x3)(1x4)....(1x4n)[(1+x)(1x2)(1+x3)(1+x4).......(1x2n)]2limx11+x2n+11+x×1x2n+21x2×......×....1x4n1x2nlimx1x2n+1(1)2n+1x(1)×x2n+2(1)2n+2x2(1)2×......×....x4n(1)4nx2n(1)2n=2n+11.2n+22.2n+33.2n+44......4n2n=4nC2n


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Sum of Product of Binomial Coefficients
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon