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

The limit as x approaches-2 of (x^3+2x^2)/(5-3x) is 0

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

x \to - 2 lim (\frac{x ^{3} + 2 x ^{2}}{5 - 3 x})

0

Solution steps

x \to - 2 lim (\frac{x ^{3} + 2 x ^{2}}{5 - 3 x})

Plug in the value

x = - 2

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

Simplify

\frac{( - 2 ) ^{3} + 2 ( - 2 ) ^{2}}{5 - 3 ( - 2 )} : 0

= 0

x \to 1 lim (\frac{1 + x ^{3}}{1 - x ^{2}})

x \to 3 lim (x - 4)

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

x \to (2) lim (\frac{x ^{2} + 2 x - 3}{3 x ^{2} + 3 x - 18})

x \to 0 - lim (x^{t a n (x)})

What is the limit as x approaches-2 of (x^3+2x^2)/(5-3x) ?
The limit as x approaches-2 of (x^3+2x^2)/(5-3x) is 0