Function: f ( x ) = sin &#x2061;<!-- ⁡ --> ( x

Mara Cook

Mara Cook

Answered question

2022-06-27

Function: f ( x ) = sin ( x ) x . Why is the y-intercept = 1 despite sin ( 0 ) being divided by zero?

Answer & Explanation

Arcatuert3u

Arcatuert3u

Beginner2022-06-28Added 30 answers

f is not defined at x = 0 but it does have a limit when x 0. This limit is the one defining the derivative of sin at x = 0, a milestone in calculus:
lim x 0 sin ( x ) x = 1

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