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) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

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

\int (2 x^{3} + 5 cos (x) + e^{x}) d x

\int x (1 - x) d x

\int cos (\frac{1}{4} x) d x

- 6

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