Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let
be a differentiable function in the interval
such that
, and
for each
. Then
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
A
Given the limit
.
The limit is in
form. Applying L'Hopital's Rule with respect to
:

Substituting
:

Dividing by
to make it a linear differential equation or recognizing the quotient rule form:

Integrating both sides with respect to
:

Given
:

So,

We need to find
:

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