What is the limit as x approaches 2-of (x+1)/(x-2) ?

The limit as x approaches 2-of (x+1)/(x-2) is -infinity

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limit as x approaches 2-of (x+1)/(x-2)

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

- \infty

Solution steps

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

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

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

x \to 2 - lim (x + 1) = 3

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

= 3 (- \infty)

Apply Infinity Property:

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

= - \infty

\int 9 t sin^{2} (t) d t

y^{^{'}} = \frac{6 x sec ( \frac{y}{x} ) + y}{x}

\frac{d}{d x} (- \frac{8 x}{x ^{2} + 1})

\frac{d}{d x} (ln (4) lo g_{4} (x) + π^{3})

x \to 2 lim (3.9 + 9.6)

What is the limit as x approaches 2-of (x+1)/(x-2) ?
The limit as x approaches 2-of (x+1)/(x-2) is -infinity