Find limit (cos(x)-1/ sin(x), x,0))

veXslefsskink09

veXslefsskink09

Answered question

2022-09-04

Find limit ( ( cos ( x ) 1 / sin ( x ) , x , 0 )

Answer & Explanation

Leon Clark

Leon Clark

Beginner2022-09-05Added 9 answers

lim x 0  cos x 1 sin x cos x + 1 cos x + 1 = lim x 0 cos 2 x 1 sin x ( cos x + 1 ) = lim x 0 cos 2 x ( cos 2 x sin 2 x ) sin x ( cos x + 1 )
= lim x 0 sin 2 x sin x ( cos x + 1 ) = lim x 0 sin x cos x + 1 = 0 2 = 0

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