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lim(x to 0) ((3^(x)-1)/(x)) is equal to...

`lim_(x to 0) ((3^(x)-1)/(x))` is equal to

A

2 log 3

B

3 log 3

C

log 3

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
`lim_(x to 0) ((3^(x)-1)/(x)) " " [(0)/(0)"form"]`
On applying L'Hospital's rule,
`lim_(x to 0) (3^(x)log 3-0)/(1) =3^(0) log 3=log3`
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