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

The limit as x approaches-2 of x/(2x^2+2x+1) is -2/5

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

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

- \frac{2}{5}

Decimal

- 0.4

Solution steps

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

Plug in the value

x = - 2

= \frac{- 2}{2 ( - 2 ) ^{2} + 2 ( - 2 ) + 1}

Simplify

\frac{- 2}{2 ( - 2 ) ^{2} + 2 ( - 2 ) + 1} : - \frac{2}{5}

= - \frac{2}{5}

\int 1 2^{x} d x

(ln (1 - x))^{^{'}}

\int \frac{3}{35 sin ( x ) - 12 cos ( x )} d x

f (x) = 3 x^{2} e^{x} + e^{x} (x^{3} + 8)

y ln (x) - x^{2} y = x y^{^{'}}

What is the limit as x approaches-2 of x/(2x^2+2x+1) ?
The limit as x approaches-2 of x/(2x^2+2x+1) is -2/5