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

The limit as x approaches-5+of (x-3)/(x+5) is -infinity

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limit as x approaches-5+of (x-3)/(x+5)

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

- \infty

Solution steps

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

\frac{x - 3}{x + 5} = (x - 3) \frac{1}{x + 5}

= x \to - 5 + lim ((x - 3) \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 - 3) \cdot x \to - 5 + lim (\frac{1}{x + 5})

x \to - 5 + lim (x - 3) = - 8

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

= (- 8) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

(1 + 3 x) (6 - 5 x)

y = \frac{10}{x ^{3}}

(4 x y^{2} + 4 y) d x + (4 x^{2} y + 4 x) d y = 0

a cos (t)

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

What is the limit as x approaches-5+of (x-3)/(x+5) ?
The limit as x approaches-5+of (x-3)/(x+5) is -infinity