How Do You Solve lim(x->0) tan(3x)/sin(8x) Using Trigonometric Limits?

[donjt81]

I'm trying to solve this problem

lim(x->0) tan(3x)/sin(8x)

using the formula lim(x->0) sinx/x = 1

so i did the following

tan(3x)/sin(8x)
{sin(3x)/cos(3x)}/sin8x
{1/cos(3x)} * {sin(3x)/sin(8x)}

now I know the term {1/cos(3x)} becomes 1 when you apply the limit but I have no idea how to solve the second term which is {sin(3x)/sin(8x)}...

can anyone please help

Thanks

 

[neutrino]

Hint: Multiply and divide by 24x. ;)

 

[arildno]

I'd rather expand the fraction with the factor 24x.

 

[donjt81]

got it... thanks guys