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Consider the function: f(x)={{:((sin2x...

Consider the function:
`f(x)={{:((sin2x)/(5x),"if",xne0),((2)/(15),"if",x=0):}`
Which one of the following is correct in respect of the function?

A

It is not continuous at x = 0

B

It is continuous at every x

C

It is not continuous at `x=pi`

D

It is continuous at x = 0

Text Solution

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The correct Answer is:
A
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