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If the function f(x)=(sin 6x)/(3x), x ne...

If the function `f(x)=(sin 6x)/(3x), x ne 0 ` is continuous at x = 0, then f(0) is equal to

A

`-2`

B

2

C

3

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
B
Given, `f(x)=(sin6x)/(3x)`
Now, `lim_(x to0)(sin6x)/(3x)=lim_(x to 0) (sin6x)/(6x)xx(6x)/(3x)`
`=1xx(6)/(3)=2`
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