Find the limit. lim_(xrightarrow 0)((x+x cos x))/((sin x cos x))

Massatfy

Massatfy

Answered question

2022-08-05

Find the limit.
lim x 0 ( x + x cos x ) ( sin x cos x )

Answer & Explanation

Alexia Mata

Alexia Mata

Beginner2022-08-06Added 15 answers

lim x 0 x [ 1 + cos ( x ) ] sin ( x ) cos ( x )
= lim x 0 x sin ( x ) × lim x 0 1 + cos ( x ) cos ( x )
= lim x 0 1 ( sin ( x ) x ) × 1 + cos ( 0 ) cos ( 0 )
= 1 1 × 1 + 1 1
= 2

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