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

Evaluate limx00xtsin10tdtx is equal to


A

0

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

110

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

-110

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

-15

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

The correct option is A

0


Explanation for the correct option:

Find the value of the given Equation.

Consider the given Equation as

I=limx00xtsin10tdtxI=0x0sin100dt0I=00Indeterminentform

Using the L' hospital rule

I=limxcfxgx=limxcf'xg'x

Then,

I=limx00xtsin10tdtxI=limx0ddx0xtsin10tdtddxxlimxcfxgx=limxcf'xg'xI=limx0tsin10t0x1ddxf(x)dx=fxI=limx0xsin10x-01I=limx00sin1001I=01I=0

Hence, option (A) is the correct answer.


flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
L'hospitals Rule
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon