How do you evaluate the limit (sin(3x))/x as x approaches 0?

Zion Lewis

Zion Lewis

Answered question

2023-02-18

How to evaluate the limit sin ( 3 x ) x as x approaches 0?

Answer & Explanation

Haylie Long

Haylie Long

Beginner2023-02-19Added 7 answers

We use well known limit lim u 0 sin u u = 1
and now we have
lim x 0 sin ( 3 x ) x
= lim x 0 3 sin ( 3 x ) 3 x
= 3 lim x 0 sin ( 3 x ) 3 x
with sub u = 3 x
= 3 lim u 0 sin ( u ) u
= 3

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