Let f: R → R be a continuously differentiable function such that f(2) = 6 and f'(2) = 1/48. If int_6^f(x) 4t^3 dt = (x-2)g(x), then lim_x → 2 g(x) is equal to

Let f: R → R be a continuously differentiable function such… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 April · Shift I

Let

f: R \to R

be a continuously differentiable function such that

f(2) = 6

and

f'(2) = \frac{1}{48}

. If

\int_6^{f(x)} 4t^3 \, dt = (x-2)g(x)

, then

\lim_{x \to 2} g(x)

is equal to

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Correct option: A

[JEE Main 2019 · 12 April · Shift I]

Practise Limits Continuity and Differentiability the way it is asked

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