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# Find the limit.$\displaystyle \lim_{x \to 0} \frac {\sin 3x \sin 5x}{x^2}$

## $\lim _{x \rightarrow 0} \frac{(\sin 3 x) \times(\sin 5 x)}{x^{2}}=15$

Derivatives

Differentiation

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

it's for. So when you right here. So we have the limit. As that's approaches. Zero were signed three bucks, One sign of five packs over X squared. It is equal to a limit because that's approaches. Girl birth Sign of three X over X. When's the limit as except Purchase girl for sign of five x over X, this equals the limit. That's that's a purchase, Ciro Months by three Miss three x on the bottom kind. The limit Multiply five My signed by somebody that so we get 35 we multiply together and we get 15.

#### Topics

Derivatives

Differentiation

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp