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The value of underset(xto2)(e^(3x-6)-1)/...

The value of `underset(xto2)(e^(3x-6)-1)/(sin(2-x))`

A

`(3)/(2)`

B

`3`

C

`-3`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
C
`underset(xto2)(lim)(e^(3x-6)-1)/(sin(2-x))=underset(xto2)(lim)(e^(3x-6)(3))/(-cos(2-x))` [using L'Hospital's rule]
`=-(3e^(0))/(cos0)=-3`
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