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Limits Continuity and Differentiability question

2021 · 16 Mar · Shift 2 · Q29

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 16 Mar · Shift 2 · Q29

Limits Continuity and Differentiability question

2021 · 16 Mar · Shift 2 · Q29

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let f : S

\to

S where S = (0,

\infty

) be a twice differentiable function such that f(x + 1) = xf(x). If g : S

\to

R be defined as g(x) = loge f(x), then the value of |g''(5)

-

g''(1)| is equal to :

A
1
B
${{187} \over {144}}$
C
${{197} \over {144}}$
D
${{205} \over {144}}$

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