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If f(x) is differentiable at x=a, find ...

If `f(x)` is differentiable at `x=a,` find `lim_(x->a)(x^2f(a)-a^2f(x))/(x-a).`

A

`2af(a)+a^(2)f'(a)`

B

`-a^(2)f'(a)`

C

`af(a)-a^(2)f'(a)`

D

`2af(a)-a^(2)f'(a)`

Text Solution

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The correct Answer is:
D
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