What is the limit as x approaches-5 of (3x^2+15x)/(2x^2-50) ?

The limit as x approaches-5 of (3x^2+15x)/(2x^2-50) is 3/4

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limit as x approaches-5 of (3x^2+15x)/(2x^2-50)

x \to - 5 lim (\frac{3 x ^{2} + 15 x}{2 x ^{2} - 50})

\frac{3}{4}

Decimal Notation

0.75

Solution steps

x \to - 5 lim (\frac{3 x ^{2} + 15 x}{2 x ^{2} - 50})

Simplify

\frac{3 x ^{2} + 15 x}{2 x ^{2} - 50} : \frac{3 x}{2 ( x - 5 )}

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

Plug in the value

x = - 5

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

Simplify

\frac{3 ( - 5 )}{2 ( - 5 - 5 )} : \frac{3}{4}

= \frac{3}{4}

y = (arctan (9 x))^{2}

\int 3 y^{3} d y

\frac{d}{d x} ((f (x) (5 x))^{2} - 2)

x \to 4 lim (\frac{7 x + 6}{3 x - 2})

\frac{d}{d x} ((x^{\frac{3}{2}})^{2})

What is the limit as x approaches-5 of (3x^2+15x)/(2x^2-50) ?
The limit as x approaches-5 of (3x^2+15x)/(2x^2-50) is 3/4