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If f (x) = [{:((ae^(sin x )+be ^(-sinx)-...

If `f (x) = [{:((ae^(sin x )+be ^(-sinx)-c)/(x ^(2)),,, x ne0),(2, ,, x =0):}` is continous at `x=0,` then:

A

`a =b=c`

B

`a=2b=3c`

C

`a=b=2c`

D

`2a=2b=c`

Text Solution

Verified by Experts

The correct Answer is:
D
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