What is the limit as x approaches-2+of (x+3)/(x+2) ?

The limit as x approaches-2+of (x+3)/(x+2) is infinity

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limit as x approaches-2+of (x+3)/(x+2)

x \to - 2 + lim (\frac{x + 3}{x + 2})

\infty

Solution steps

x \to - 2 + lim (\frac{x + 3}{x + 2})

\frac{x + 3}{x + 2} = (x + 3) \frac{1}{x + 2}

= x \to - 2 + lim ((x + 3) \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 + 3) \cdot x \to - 2 + lim (\frac{1}{x + 2})

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

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

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{d}{d x} (x^{3} (3 x + 1)^{6})

x \to - 1 lim (\frac{x ^{3} - 8}{x - 2})

\frac{d}{d x} (5 x^{\frac{4}{3}})

\frac{d}{d x} (\frac{5 x ^{2}}{3 x - 1})

\int \frac{1}{x 16 + x ^{2}} d x

What is the limit as x approaches-2+of (x+3)/(x+2) ?
The limit as x approaches-2+of (x+3)/(x+2) is infinity