Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Examine the continuity at x = 0 of the sum function of the infinite series:
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Discontinuous
Sol. f(0) = 0
f(0 + ) =
+ ............... ∞
= 
f(x) is not continous at x = 0 since f(0) ≠ f(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
The function , where assumes its minimum value only at one point, if . Find .
2. If be two fixed positive integers such that for all real , then is a periodic function with …
3. The domain of the function , where the symbols have their usual meanings, is the set . Find nu…
If , then . Find .
, then is equal to . Find .
Let and be the roots of , then is equal to Find .