Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If f(x) = x + 
+ ……. 
, then
f(0) + f ′ ′ (0) + f ′ ′ ′ ′ (0) + ….. f ′ ′ ′ ′ ′ ′ …….n times (0) is equal to
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
f ′ ′ (x) = 1 + 2x + 
……. ⇒ f ′ (0) = 1
f " (x) = 2 + 3x + …….. ⇒ f "(0) = 2
f ′′′ …….n times (0) = n
f(0) + f ′ (0) + f "(0) + ……..+ f "" …..n times (0)
= 1 + 2 + 3 + …..+ n = 
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 f(x) = cos π x + 10x + 3x 2 + x 3 , – 2 ≤ x ≤ 3 then absolute minimum value of f(x) is-
The function f(x) = x 5 – 5x 4 + 5x 3 – 1 has-
The function f(x) = has no extrema. if (n ∈ z)
If x exceeds by its square by the greatest possible quantity then x is-
An extreme value of the function
f(x) = (sin –1 x) 3 + (cos –1 x) 3 (–1 < x < 1) is
Let f(x) = (t + 4) 4 log (t+ 1) dt, then -