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

Let f(x)=x2+2cosx24 x<0sinxlog(excosx)6x2, x>0. The value of f(0), so that f is continuous is

A
15
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
112
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D 112
limx0+f(x)=limx0+sinxlog(excosx)6x200form

=limx0+cosx(excosxexsinx)excosx×112x

=limx0+cosx1+tanx12x

=112limx0+(x×cosx1x2+tanxx)

=112(0×112+1)=112

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Methods of Solving First Order, First Degree Differential Equations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon