calculus
posted by miley on .
Need help asap! what is the limit as x approaches 0 of x/tan(3x) ?

You should have either proved or collected several basic trig limits
e.g.
limit sinx/x as x> 0 = 1
also
lim tanØ/Ø as Ø > 0 = 1 which implies lim Ø/tanØ as Ø > 0 = 1
so let's make your question look like that
lim x/tan(3x)
= lim 3x/(3tan(3x))
= lim (1/3) [(3x)/tan(3x)] , (where 3x = Ø)
= lim (1/3) [Ø/tanØ]
= (1/3)(1)
= 1/3