What is the limit as x approaches-5 of (x^2+3x-10)/(2x^2+15x+25) ?

The limit as x approaches-5 of (x^2+3x-10)/(2x^2+15x+25) is 7/5

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limit as x approaches-5 of (x^2+3x-10)/(2x^2+15x+25)

x \to - 5 lim (\frac{x ^{2} + 3 x - 10}{2 x ^{2} + 15 x + 25})

\frac{7}{5}

Decimal Notation

1.4

Solution steps

x \to - 5 lim (\frac{x ^{2} + 3 x - 10}{2 x ^{2} + 15 x + 25})

Simplify

\frac{x ^{2} + 3 x - 10}{2 x ^{2} + 15 x + 25} : \frac{x - 2}{2 x + 5}

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

Plug in the value

x = - 5

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

Simplify

\frac{- 5 - 2}{2 ( - 5 ) + 5} : \frac{7}{5}

= \frac{7}{5}

\int 8 sin^{3} (x) cos^{2} (x) d x

f (x) = (1 + x + x^{2})^{99}

f (x) = \frac{1}{5 + 3 x}, (2, \frac{1}{11})

\int_{1}^{2} 8 r^{2} ln (r) d r

\int 3 t + 2 d t

What is the limit as x approaches-5 of (x^2+3x-10)/(2x^2+15x+25) ?
The limit as x approaches-5 of (x^2+3x-10)/(2x^2+15x+25) is 7/5