hitunglah nilai limit berikut ini

a)limit (2tan 3y) / sin 2y
= 2 limit tan 3y / sin 2y
= 2 limit ( tan 3y /3y) / (2y / sin 2y) x 3y/2y x
= 2 x 3/2
= 3
b) limit (cos 2x) / (cos x - sin x)
limit (cos^2 x - sin^2 x ) / (cos x - sin.x)
= limit (cos x + sin x)(cos x - sin x) / (cos x - sin x)
= limit (cos x + sin x)
= cos 45 + sin 45
= (1/2)V2 + (1/2)V2
= V2
c) limit (1 + cos 2x ) / cos x
=limit { 1 + (cos^2 x - sin^2 x) / cos x
= limit { 1 + (2cos^2 x - 1)/ cos x
= limit (2cos^2 x) / cos x
= 2limit cos x
= 2.cos 1/2phi
= 2.0
= 0