Question

Find: lim x->0 sin2x/3x?

Answer 1

I know the answer is 2/3, but I don't understand why.

Answer 2

@jim_thompson5910

Answer 3

\[\lim_{x\to 0}\frac{\sin(x)}{x}=1\]right?

Answer 4

Yes.

Answer 5

\[\frac{\sin(2x)}{3x}=\frac{\sin(2x)}{2x}\times \frac{2}{3}\]

Answer 6

Oh.. that makes more sense than the explanation my teacher gave. Thanks a ton!

Answer 7

yw

Answer 8

i wonder what your teacher said