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

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

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

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

\infty

Solution steps

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

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

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

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

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

= 3 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{\partial}{\partial x} (x^{5})

\int cos (4 x) sin^{5} (4 x) d x

f (x) = \frac{x ^{2}}{x - 1}

4 (8 x - 1)^{4}

x^{^{''}} + 4 x^{^{'}} + 4 x = e^{- 2 t}

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