- #1
clueless...
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- 0
when is it justified to do something like this
[tex] \lim_{n\to\infty} e^{lnx^{1/n}} = e^{\displaystyle\lim_{n\to\infty}lnx^{1/n}}[/tex]
or something like this
[tex] \lim_{n\to\infty} 2^{f(n)} = 2^{\displaystyle\lim_{n\to\infty}f(n)}}[/tex] ?
I am assuming that I can do something like this in both cases, but why?
thank you.
[tex] \lim_{n\to\infty} e^{lnx^{1/n}} = e^{\displaystyle\lim_{n\to\infty}lnx^{1/n}}[/tex]
or something like this
[tex] \lim_{n\to\infty} 2^{f(n)} = 2^{\displaystyle\lim_{n\to\infty}f(n)}}[/tex] ?
I am assuming that I can do something like this in both cases, but why?
thank you.