Can someone help me with these problems? (Angry)

lim x->0^+ 3sin(x)ln(x)

lim x-> INF (1+11/x)^(x/3)

lim x-> 0 [(1/7x) - ( 1/(e^(7x) - 1) )]

Thanks.

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- Feb 22nd 2010, 09:10 AMstickyMATHIndeterminate forms help
Can someone help me with these problems? (Angry)

lim x->0^+ 3sin(x)ln(x)

lim x-> INF (1+11/x)^(x/3)

lim x-> 0 [(1/7x) - ( 1/(e^(7x) - 1) )]

Thanks. - Feb 22nd 2010, 12:30 PMmaddas
edit:Redacted.

Replace $\displaystyle x$ with $\displaystyle 3x$, so you obtain $\displaystyle \lim_{x\to \infty} (1 + 11/3x)^{x}$. Now remember how the limit of $\displaystyle (1+x/n)^n$ is related to $\displaystyle e^x$...