Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If the function g(x) = 
is differentiable, then the value of k+ m is;
A
2
B
C
D
4
Text Solution
Verified by ExpertsThe correct answer is:
A
L(g ′ ) = 
= 
R(g ′ ) = 
Since this limit exists 3m + 2 – 2k = 0 ⇒ 2k = 3m + 2 ...(i)
So R(g ′ ) = m by L-Hospital rule
Since g(x) is differentiable k = 4m ...(ii)
Solving (i) & (ii)
m = 
, k = 
⇒ k + m = 2 ...(ii)
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