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

The limit as x approaches-2 of (2x^2+3x)/(x-3) is -2/5

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

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

- \frac{2}{5}

Decimal

- 0.4

Solution steps

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

Plug in the value

x = - 2

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

Simplify

\frac{2 ( - 2 ) ^{2} + 3 ( - 2 )}{- 2 - 3} : - \frac{2}{5}

= - \frac{2}{5}

\frac{d}{d x} (arcsin (8 x) + arccos (8 x))

y^{^{''}} - 6 y^{^{'}} - 16 y = 0

\frac{d}{d x} (4 x^{0.75} \cdot (240 - 2 x)^{0.5})

\int_{- 3}^{- 1} \frac{5}{x ^{4}} d x

f (x) = \frac{27}{5 x ^{2}} - \frac{3}{2}, at x = 1

What is the limit as x approaches-2 of (2x^2+3x)/(x-3) ?
The limit as x approaches-2 of (2x^2+3x)/(x-3) is -2/5