What is the limit as x approaches 1 of (x^3)/(x^2+1) ?

The limit as x approaches 1 of (x^3)/(x^2+1) is 1/2

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limit as x approaches 1 of (x^3)/(x^2+1)

x \to 1 lim (\frac{x ^{3}}{x ^{2} + 1})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

x \to 1 lim (\frac{x ^{3}}{x ^{2} + 1})

Plug in the value

x = 1

= \frac{1 ^{3}}{1 ^{2} + 1}

Simplify

= \frac{1}{2}

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What is the limit as x approaches 1 of (x^3)/(x^2+1) ?
The limit as x approaches 1 of (x^3)/(x^2+1) is 1/2