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

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

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

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

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

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

Plug in the value

x = 1

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

Simplify

= \frac{1}{3}

f (x) = \frac{3 π x ^{2}}{2}

\int \frac{1 + x}{1 - x ^{2}} d x

\frac{2}{3 x + 1}

\frac{\partial}{\partial y} (2 - y - x^{2})

\frac{d}{d x} (x^{5} e^{3 x})

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