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The value of `lim_(xrarr 0) (1+sinx)^2` , is

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The value of `lim_(xrarr 0) (1+sinx)^2` , is
A. e
B. `e^2`
C. `sqrt(e)`
D. none of these
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1 Answer

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Correct Answer - B
We have,
`lim_(xto0) (1+sinx)^(2cot x)=e^(lim_(xto1)sinx xx2cotx )=e^(lim_(xto0)2cosx)=e^2`
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