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Q.The function f(x)={tanxxx0 1x=0f(x) = \begin{cases} \frac{\tan x}{x} & x \ne 0 \ 1 & x = 0 \end{cases} is continuous at x=0x=0 and f(0)f'(0) exists and equals

a
1/3
b
1
c
0
d
does not exist

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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The function f(x) = \begin{cases} \frac{\tan x}{x} & x \ne ... | ParikshaNiti