Question

would appreciate if someone can help me in solving below function limit
lim {cos[(pi/6)+x] - sqrt3/2}/x ; when x approaching "0"

Answer 1

\[\lim_{x \rightarrow 0}\frac{ \cos[ \frac{ \pi }{ 6}+x]-\frac{ \sqrt3 }{2 } }{ x }\]
Use L'Hospital's rule

Answer 2

if you substitute for x zero you have \[\left[\frac{ 0 }{ 0 } \right]\]
so you can use that rule

Answer 3

Do you know how to do that?

Answer 4

or else expand cos(x+pi/6) and then solve

Answer 5

yes, if you don't know what derivative is expand cos(x+pi/6)