How can I find $lim_{nrightarrowinfty}(1+frac{x}n)^{sqrt{n}}$?
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How can I find $$lim_{nrightarrowinfty}left(1+frac{x}nright)^{sqrt{n}};?$$ I know $lim_{nrightarrowinfty}left(1+frac{x}nright)^{n} = exp (x)$ but I don't know how can I put the definition in this particular limit. I know then, that $lim_{nrightarrowinfty}big(1+frac{x}nbig)=1$ , but I don't think this is right to consider.
real-analysis sequences-and-series limits exponential-function
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edited Nov 20 at 15:22
amWhy
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asked Nov 20 at 14:46
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