Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Determine the values of a, b & c for which the function f (x) = 
is continuous at x = 0.
Text Solution
Verified by ExpertsThe correct answer is:
A
a = −
, b ≠ 0, c = 
Sol. f (x) is continous at x = 0 therefore
f(x) = f (0) =
f (x) ;
f(x) =
= a + 2
and
f (x) =
=
here b should not be equal to zero.
so a + 2 = c = 1/2 and b ≠ 0
──────────────────────────────────────────────────────────────────────────────────────────
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 , then
If the function be continuous at , then k =
The function is not defined at . The value which should be assigned to f at x =0 so that it is co…
Let . If be continuous for all x , then k =
Let . If the function be continuous at , then k =
In order that the function is continuous at , must be defined as