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Mathematics 28 Online
OpenStudy (anonymous):

lim x -> inf tanhx?

OpenStudy (anonymous):

\[\lim_{x \rightarrow \infty} tanhx\] where tanhx is hyperbolic tan

OpenStudy (anonymous):

Wait I might have it.. \[tanhx = \frac{ sinhx }{ coshx }\]

OpenStudy (anonymous):

\[= \frac{ \frac{ e^x-e ^{-x} }{ 2 } }{ \frac{ e^x+e ^{-x} }{ 2 } }\]

OpenStudy (luigi0210):

Isn't there an identity on this? I think it equals 1..

OpenStudy (anonymous):

hmm not looking for the answer, just the method

OpenStudy (luigi0210):

Graphically?

OpenStudy (luigi0210):

And the way you approached it algebraically is correct so far

OpenStudy (anonymous):

Ah nvm I found the answer

OpenStudy (anonymous):

Just factored out an e^x and took the limit from there.

OpenStudy (luigi0210):

Nvm. And alrighty

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