# Math Help - limit of trig function

1. ## limit of trig function

im confused on this problem:

Code:
lim     tan(7x)
x->0    sin(3x)
Would I change tan to sin/cos then cancel out the sin and try to evaluate?
when i tried on my calc i got 7/3 and i'm confused

2. Originally Posted by chaosrxn
im confused on this problem:

Code:
lim     tan(7x)
x->0    sin(3x)
Would I change tan to sin/cos then cancel out the sin and try to evaluate?
when i tried on my calc i got 7/3 and i'm confused
$
\lim_{x \to 0}
\frac{tan(7x)}{sin(3x)}
\rightarrow
\frac
{7\frac{tan(7x)}
{7x}}
{3\frac{sin(3x)}{3x}}
\rightarrow
\frac{7(1)}{3(1)} \rightarrow \frac{7}{3}$

there probably is a better way to do this but this is all I can think of right now

3. Wow thanks, you just made my life easier, I've been going through my textbook trying to figure this out.