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Evaluate the limits, if exist lim(x rarr...

Evaluate the limits, if exist `lim_(x rarr 0)(e^(sinx)-1)/x`.

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The correct Answer is:
1
`lim_(x rarr 0)(e^(sinx)-1)/x`
`=lim_(x rarr 0)(e^(sinx) cosx)/1`
`=(e^(sin0) xx cos0)`
`=e^0`
`=1`
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