Question

find limit of sin(x) / ....
I'm stuck trying to find the limit of
(sin(x) - 1/2) / (x - pi/6) for x -> pi/6 algebraically. Any hints ? (please do not give the solution, just a hint of how to solve it)

Answer 1

A bit easier to read
\[\lim_{x \rightarrow \frac{\pi}{6}} \frac{ \sin(x) - \frac{1}{2}}{x - \frac{\pi}{6}}\]

Answer 2

because it would be 0/0, u can use differentiate

Answer 3

I have to find the limit without using L'Hospital. I know the the answer is
\[\frac{\sqrt{3}}{2}\], but I can't figure out how to find it algebraically

Answer 4

well, i will figure out for u