What is the limit as x approaches 0 of 2x*sin(x) ?

The limit as x approaches 0 of 2x*sin(x) is 0

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limit as x approaches 0 of 2x*sin(x)

x \to 0 lim (2 x \cdot sin (x))

0

Solution steps

x \to 0 lim (2 x sin (x))

Plug in the value

x = 0

= 2 \cdot 0 \cdot sin (0)

Simplify

2 \cdot 0 \cdot sin (0) : 0

= 0

y = x^{2} + x, at x = - 2

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\int_{0}^{9} k (9 - x)

What is the limit as x approaches 0 of 2x*sin(x) ?
The limit as x approaches 0 of 2x*sin(x) is 0