1.

Evaluate the following:lim_(xtoinfty)log_e(1+a/x)^x

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SOLUTION :`lim_(xtoinfty)log_e``(1+a/X)^x`
`=log_e{lim_(xtoinfty)(1+a/x)^x}`
`log_ee^a=alog_e`
`e=a[thereforelim_(x to INFTY)(1+a/x)^x=e^a


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