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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= 0 \cdot cos (0)

Simplify

0 \cdot cos (0) : 0

= 0

x \to 0 lim (\frac{3 - 3 cos ( x )}{x})

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