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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

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

Simplify

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

= 0

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