Question

lim h->0(from left) h/sin3h

Answer 1

multiply by 3/3

then use identity
\[\lim_{x \rightarrow 0}\frac{ax}{\sin ax} = 1\]

Answer 2

I'm sorry...what do I multiply 3/3 by?

Answer 3

the whole expression
\[\rightarrow \frac{h}{\sin 3h}*\frac{3}{3} = \frac{1}{3}*\frac{3h}{\sin 3h}\]
notice how then you can rearrange the fractions

Answer 4

oh okay...so I'm moving the 1/3 out front?

Answer 5

To cancel the 3h/sin3h=1? I think maybe I get it

Answer 6

yes because you know that part has a limit of 1 .... then you are just left with the 1/3

Answer 7

Thank you!!

Answer 8

yw