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

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

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

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

- \infty

Solution steps

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

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

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

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

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

x \to 3 - lim (\frac{1}{x - 3}) = - \infty

= 8 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

\int sin^{3} (x) cos^{- 4} (x) d x

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

(12 x^{2} - 24 x + 24) e^{- 8 x}

\int \frac{1}{t ^{2} 64 - t ^{2}} d t

3 y^{^{''}} + 4 y^{^{'}} = 0

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