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

If f(x)=(x)1x1 for x1 and f is continuous at x=1 then f(1)=

A
e
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
e1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
e2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
e2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A e
Given that the function is continuous at x= 1
limx1f(x)=f(1)
limx1f(x)=limx1 x 1/(x1)=limx1(1+x1)1/(x1)(1form)=elimx1x1x1=e
Hence f(1) is also equal to e.

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