💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

# Find the limit.$\displaystyle \lim_{x \to 0} \frac{\sin x}{\sin \pi x}$

## $\frac{1}{\pi}$

Derivatives

Differentiation

### Discussion

You must be signed in to discuss.
##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp

### Video Transcript

it's clear. So when you read here so we have the limit as X approaches. Sarah for sign. That's over. Sign pi X. This is equal to the limit as X approaches zero sine X over max times X over sign pi X We simplify one over pi limit as X approaches Sarah word pie that's over. Sign by X in this equals one over pi.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp