wiz-icon
MyQuestionIcon
MyQuestionIcon
7
You visited us 7 times! Enjoying our articles? Unlock Full Access!
Question

limn12+34+56+.......2nn2+1+4n21is equal to:


A

1/3

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

-1/3

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

-1/5

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

1/5

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

The correct option is B

-1/3


limn12+34+56+.......2nn2+1+4n21=limn[1+3+5+7+.....+(2n1)](2+4+6+.....+2n)n1+1n2+n41n2=limnn2(2.1+(n1).2)n2[2.2+(n1).2]n[1+1n2+41n2]=limnn2.2nn22(n+1)n[1+1n2+41n2]=limnn2n2nn[1+1n2+41n2]=limnnn[1+1n2+41n2]=limn1[1+1n2+41n2]=11+2=13


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Indeterminant Forms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon