What is the limit as x approaches 0 of (2x)/(x^2+1) ?

The limit as x approaches 0 of (2x)/(x^2+1) is 0

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limit as x approaches 0 of (2x)/(x^2+1)

x \to 0 lim (\frac{2 x}{x ^{2} + 1})

0

Solution steps

x \to 0 lim (\frac{2 x}{x ^{2} + 1})

Plug in the value

x = 0

= \frac{2 \cdot 0}{0 ^{2} + 1}

Simplify

\frac{2 \cdot 0}{0 ^{2} + 1} : 0

= 0

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What is the limit as x approaches 0 of (2x)/(x^2+1) ?
The limit as x approaches 0 of (2x)/(x^2+1) is 0