Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If
, then
is equal to_______.
Text Solution
Verified by ExpertsThe correct answer is:
32
(32)
To solve the given limit problem, we start by analyzing the expression:

This limit exhibits the indeterminate form
.
To handle this form, we use the transformation:

Expanding
using its Taylor series near
, we have:

Substituting this expansion into the limit, we get:

This simplifies to:

Thus, the limit becomes:

Therefore, the expression for
is:

Finally, computing
:

──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If , where , then is equal to
Let be a continuous function satisfying and for all . If , then is equal to
Let be a differentiable function on such that . Let . Then the number of times the curve meets…
Let be continuous at . Then is equal to:
If is finite, then (a + b) is equal to:
For , let and be the roots of the equation
and then is equal to ______.