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If f(x) is continuous at x=0, where f(x...

If `f(x)` is continuous at `x=0`, where `f(x)={:{((sin 4x)/(5x)+a", for " x gt 0),(x+4-b", for " x lt 0),(1", for " x=0):}`, then

A

`a=1/5, b=3`

B

`a=(-1)/(5), b=-3`

C

`a=1/5, b=-3`

D

`a=( -1)/(5), b=3`

Text Solution

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The correct Answer is:
A
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