Question

Find the limit for lim (sin4x)/(sin6x)
x==>0

Answer 1

gotta use
\[ \large \lim_{x\to0}\frac{\sin x}{x}=1 \]

Answer 2

But how do I use that when I have 4x and 6x?

Answer 3

What are the steps to solving this?
\[\lim_{x \rightarrow 0} \tan(6x)\div \sin(2x)\]

Answer 4

So I can find the limit

Answer 5

sorry. busy

Answer 6

first multiply and divide by 1/x
\[ \large \lim_{x\to0}\frac{\sin 4x}{\sin 6x}=
\lim_{x\to0}\frac{\frac{\sin 4x}{x}}{\frac{\sin 6x}{x}} \]

Answer 7

then multiply and divide the numerator by 4 and by 6 the denominator