What is the limit as x approaches 2-of (x+5)/(x-2) ?

The limit as x approaches 2-of (x+5)/(x-2) is -infinity

limit as x approaches 2-of (x+5)/(x-2)

x \to 2 - lim (\frac{x + 5}{x - 2})

- \infty

Solution steps

x \to 2 - lim (\frac{x + 5}{x - 2})

\frac{x + 5}{x - 2} = (x + 5) \frac{1}{x - 2}

= x \to 2 - lim ((x + 5) \frac{1}{x - 2})

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 2 - lim (x + 5) \cdot x \to 2 - lim (\frac{1}{x - 2})

x \to 2 - lim (x + 5) = 7

x \to 2 - lim (\frac{1}{x - 2}) = - \infty

= 7 (- \infty)

Apply Infinity Property:

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

= - \infty

in v erse l a pl a ce - \frac{e ^{- π s}}{s ^{2} + 1}

s l o p e (1950, 38300), (2000, 82500)

f^{^{'}} (x) = x^{2} - 5

\int \frac{1}{3 x ^{2} + 6 x + 78} d x

\int e^{4 x} cos (7 x) d x

What is the limit as x approaches 2-of (x+5)/(x-2) ?
The limit as x approaches 2-of (x+5)/(x-2) is -infinity