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Limits Continuity and Differentiability question

2019 · 8 Apr · Shift 2 · Q33

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 8 Apr · Shift 2 · Q33

Limits Continuity and Differentiability question

2019 · 8 Apr · Shift 2 · Q33

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let ƒ : R

\to

R be a differentiable function satisfying ƒ'(3) + ƒ'(2) = 0. Then

\mathop {\lim }\limits_{x \to 0} {\left( {{{1 + f(3 + x) - f(3)} \over {1 + f(2 - x) - f(2)}}} \right)^{{1 \over x}}}

is equal to

A
e
B
e2
C
e–1
D
1

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