What is the limit as x approaches-3 of (5x^2+15x)/(x+3) ?

The limit as x approaches-3 of (5x^2+15x)/(x+3) is -15

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limit as x approaches-3 of (5x^2+15x)/(x+3)

x \to - 3 lim (\frac{5 x ^{2} + 15 x}{x + 3})

- 15

Solution steps

x \to - 3 lim (\frac{5 x ^{2} + 15 x}{x + 3})

Simplify

\frac{5 x ^{2} + 15 x}{x + 3} : 5 x

= x \to - 3 lim (5 x)

Plug in the value

x = - 3

= 5 (- 3)

Simplify

= - 15

What is the limit as x approaches-3 of (5x^2+15x)/(x+3) ?
The limit as x approaches-3 of (5x^2+15x)/(x+3) is -15