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 \cdot 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

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\frac{\partial}{\partial y} (4 x^{3} y^{3} - 3 x^{2} sin (x^{3}) y)

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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