Lim 1-cos x / x sin x
x mndekati 0
Jawaban Terkonfirmasi
Limit { 1 – cos x } / ( x . sin x) =
x-> 0
..
limit {1 – (1 – 2 sin² 1/2 x)}/( x. sin x)
x-> 0
..
limit (2 sin 1/2 x . sin 1/2 x )/ (x. sin x)
x->0
..
= 2 (1/2)²= 1/2
Lim 1-cos x / x sin x
x mndekati 0
Limit { 1 – cos x } / ( x . sin x) =
x-> 0
..
limit {1 – (1 – 2 sin² 1/2 x)}/( x. sin x)
x-> 0
..
limit (2 sin 1/2 x . sin 1/2 x )/ (x. sin x)
x->0
..
= 2 (1/2)²= 1/2