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

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

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

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

\infty

Solution steps

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

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

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

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

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

= (- 1) (- \infty)

Apply Infinity Property:

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

= \infty

\int 2 x - x^{2} d x

y = 50 - x^{2}

f (x) = 3 cos (x)

x \to - 5 + lim (\frac{1}{x ^{2} - 25})

(t^{2} + 2 t) \frac{d x}{d t} = 2 x + 6, x (1) = 1

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