What is the limit as x approaches-2 of (5x^2+6)/x ?

The limit as x approaches-2 of (5x^2+6)/x is -13

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limit as x approaches-2 of (5x^2+6)/x

x \to - 2 lim (\frac{5 x ^{2} + 6}{x})

- 13

Solution steps

x \to - 2 lim (\frac{5 x ^{2} + 6}{x})

Plug in the value

x = - 2

= \frac{5 ( - 2 ) ^{2} + 6}{- 2}

Simplify

\frac{5 ( - 2 ) ^{2} + 6}{- 2} : - 13

= - 13

(\frac{1}{( 1 - x ) ^{2}})^{^{'}}

y = \frac{1}{4 x ^{2}}, y = x, y = \frac{x}{10}

\frac{d}{d x} (\frac{x - 1}{x ^{2} + 4})

x^{2} \frac{d y}{d x} = x y + 3 y^{2}

50 x^{2} e^{- x} + 8

What is the limit as x approaches-2 of (5x^2+6)/x ?
The limit as x approaches-2 of (5x^2+6)/x is -13