Question

Evaluate the limit.

Answer 1

\[\lim_{x \rightarrow 0}\frac{ \cos (3x-\frac{ \pi }{ 2 }) }{ x }\]

Answer 2

@Loser66 @Luigi0210

Answer 3

without using l'hospital formula

Answer 4

the numerator can be written as cos 3x cos (pi/2) + sin (3x sin (pi/2) . so the first term =0 right?
now time both sides ( numerator and denominator ) by 3 you have the form of lim 3 sin 3x/ 3x =3