# Indeterminate forms help

• February 22nd 2010, 09:10 AM
stickyMATH
Indeterminate 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.
• February 22nd 2010, 12:30 PM
Replace $x$ with $3x$, so you obtain $\lim_{x\to \infty} (1 + 11/3x)^{x}$. Now remember how the limit of $(1+x/n)^n$ is related to $e^x$...