CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The value of limx 11x(cos1x)2 is

A
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
14
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 14
We have limx 11x(cos1 x)2=limx 1(1x)(1+x)(cos1x)2(1+x)
=limx 11x(cos1x)2(1+x)
limθ 01cosθθ2(1+cos θ), where x=cosθ
[ x 1cosθ1θ0]
limθ 01cosθθ21(1+cosθ)
limθ 02sin2θ24θ24(11+cosθ)
=12limθ 0⎜ ⎜ ⎜sinθ2θ2⎟ ⎟ ⎟21(1+cosθ)=12(1)21(1+1)=14

flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Substitution Method to Remove Indeterminate Form
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon