What is the limit as x approaches-5+of (x+4)/(x+5) ?

The limit as x approaches-5+of (x+4)/(x+5) is -infinity

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limit as x approaches-5+of (x+4)/(x+5)

x \to - 5 + lim (\frac{x + 4}{x + 5})

- \infty

Solution steps

x \to - 5 + lim (\frac{x + 4}{x + 5})

\frac{x + 4}{x + 5} = (x + 4) \frac{1}{x + 5}

= x \to - 5 + lim ((x + 4) \frac{1}{x + 5})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to - 5 + lim (x + 4) \cdot x \to - 5 + lim (\frac{1}{x + 5})

x \to - 5 + lim (x + 4) = - 1

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

= (- 1) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\int_{0}^{2} 4 x - 2 x^{2} d x

t + sin (t)

sin (2 t) cos (5 t)

\int \frac{- 3 x ^{2}}{1 - x} d x

\int 8 ln (x^{2} - 1) d x

What is the limit as x approaches-5+of (x+4)/(x+5) ?
The limit as x approaches-5+of (x+4)/(x+5) is -infinity