Question

Find lim x-->0 sin(3x)/x

Answer 1

\[\lim_{x \rightarrow 0}\frac{ \sin(3x) }{ x }\]

Answer 2

Use L'Hopital's Rule.

Answer 3

sorry what is that?
i don't remember names, just formulas.

Answer 4

i haven't gotten there yet.

Answer 5

If \(\lim_{x \rightarrow a} \dfrac{f(x)}{g(x)} = \dfrac{0}{0}\) or \(\dfrac{\pm \infty}{\pm \infty}\), then \(\lim_{x \rightarrow a} \dfrac{f(x)}{g(x)} = \lim_{x \rightarrow a} \dfrac{f'(x)}{g'(x)} \)

Answer 6

Just take derivative in numerator and denominator.

Answer 7

3sin3x
ohh ok thanks

Answer 8

Actually, it's 3cos3x.

Answer 9

ohh haha my bad.

Answer 10

lol. Glad I helped.