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

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

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

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

- \infty

Solution steps

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

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

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

x \to - 5 + lim (x - 5) = - 10

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

= (- 10) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\frac{d}{d x} ((6 x + 12)^{3})

\int \frac{x ^{2} + 2 x + 2}{x + 2} d x

x \to - 2 + lim (\frac{- 8 x}{x + 2})

\int 2 cos (d) x d x

\frac{1}{s ( s + 6 ) ( s + 2 )}

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