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Let f (x) {{:((sin 5x)/(x ^(2) +2x)",", ...

Let `f (x) {{:((sin 5x)/(x ^(2) +2x)",", "when" x ne0),(k +1/2",","when" x=0):}` if `lim _(x to 0) f (x) =f(0) ,` then the value of k is-

A

`3/2`

B

`-2`

C

1

D

2

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The correct Answer is:
D
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