Question

Find the limit as x->0
(sin 2x)/(4x)

Answer 1

well to use

\[\lim_{x \rightarrow 0} \frac{\sin(x)}{x} = 1\]

you need the x in the numberator and denominator to be he same

so rewrite it as

\[\lim_{x \rightarrow 0} \frac{1}{2} \times \frac{\sin(2x)}{2x} = \frac{1}{2} \lim_{x \rightarrow 0} \frac{\sin(2x)}{2x}\]

Answer 2

how did 4x turn into 2x?? .__.

Answer 3

well 1/2 * 1/2x = 1/(2*2x) = 1/4x

Answer 4

why did you use 1/2?

Answer 5

lol i'm lost :(

Answer 6

why did you use 1/2?