Question

Find the limit of the function algebraically:
3sin(4x) / sin(3x)

Answer 1

approaching what?

Answer 2

Oh shoot sorry, approaching 0.

Answer 3

\[ \large \lim_{x\to0}\frac{3\sin(4x)}{\sin(3x)}=
\lim_{x\to0}\frac{\frac{4\sin(4x)}{4x}}{\frac{\sin(3x)}{3x}} \]

Answer 4

remember this
\[ \large \lim_{t\to0}\frac{\sin t}{t}=1 \]

Answer 5

Wow thats alot to take in. Hopefully Ill make sense of it. Thanks!

Answer 6

u r welcome