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if f(x)=((e^((x+3)ln27))^(x/27)-9)/(3^x-...

if `f(x)=((e^((x+3)ln27))^(x/27)-9)/(3^x-27) , x < 3` and `f(x)=lambda(1-cos(x-3))/((x-3)tan(x-3))` if `lim_(x->3)f(x)` exist then `lmbda ` is

A

`9/2`

B

`2/9`

C

`2/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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