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Let f(x) be a derivable function at x = ...

Let f(x) be a derivable function at x = 2 and `lim_(h rarr0)(f(2+h))/(sin h) = 3`, then `(f(2)+f'(2))/(f(2)-f'(2))` is equal to

A

0

B

1

C

3

D

`-1`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If f(2) =6 and f(1) 4 then lim_( h rarr 0) (f(2h +2 + h^(2))-f(2))/(f(h-h^(2)+1)-f(1)) is equal to

    A
    3
    B
    `-3//2`
    C
    `3//2`
    D
    Does not exist

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