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

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

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

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

1

Solution steps

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

Plug in the value

x = 0

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

Simplify

= 1

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