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

The limit as x approaches-5-of x/(x+5) is infinity

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limit as x approaches-5-of x/(x+5)

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

\infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{1 + \frac{5}{x}}

= x \to - 5 - lim (\frac{1}{1 + \frac{5}{x}})

For

x

approaching

- 5

from the left

, x < - 5 \Rightarrow 1 + \frac{5}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

(50, 43), (60, 86)

\frac{d y}{d x} = - 10 x y^{2}

\int_{0}^{\infty} e^{- 8 x} d x

y^{^{''}} - 6 y^{^{'}} + 9 y = t^{- 5} e^{3 t}

\frac{d}{d x} (ln (sin (x + y)))

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