What is the limit as x approaches 0 of cos(x)*x ?

The limit as x approaches 0 of cos(x)*x is 0

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limit as x approaches 0 of cos(x)*x

x \to 0 lim (cos (x) \cdot x)

0

Solution steps

x \to 0 lim (cos (x) x)

Plug in the value

x = 0

= cos (0) \cdot 0

Simplify

cos (0) \cdot 0 : 0

= 0

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What is the limit as x approaches 0 of cos(x)*x ?
The limit as x approaches 0 of cos(x)*x is 0