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

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

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

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

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

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

Plug in the value

x = - 2

= \frac{( - 2 ) ^{2}}{( - 2 ) ^{2} + 2}

Simplify

\frac{( - 2 ) ^{2}}{( - 2 ) ^{2} + 2} : \frac{2}{3}

= \frac{2}{3}

y = \frac{1}{x ^{6}}, (- 3, \frac{1}{729})

\int x e^{- 9 x^{2}} d x

y^{^{'}} + e^{x + y} = 0

t \to 0 lim (sin (8 t))

\frac{x y d y}{d x} + y^{2} = 2 x

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