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

\frac{d}{d l} (2 π \frac{l}{g ( l )})

\int \frac{x ^{2} + x - 2}{x ^{4} + 5 x ^{2} + 4} d x

\frac{d}{d x} ((3 + tan (x))^{x})

\frac{\partial}{\partial x} (\frac{( t - y )}{8 t + 3 y})

y^{^{''}} = 1 - 2 y^{^{'}}

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