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

x (e^{\frac{y}{x}} - 1) y^{^{'}} = e^{\frac{y}{x}} (y - x), y (1) = 0

\frac{d}{d x} ((x^{2} + y^{2}) ln (x + y))

\frac{d}{d x} (\frac{x + 3}{x - 5})

\frac{\partial}{\partial y} (\frac{1}{2} ln (x^{2} + y^{2}))

\frac{\partial}{\partial x} (e^{2 x})

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