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

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

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

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

- \infty

Solution steps

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

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

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

x \to 3 - lim (3 x + 2) = 11

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

= 11 (- \infty)

Apply Infinity Property:

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

= - \infty

f (x) = \frac{1}{3 - 2 x}, at x = - 1

\frac{\partial}{\partial x} (\frac{3}{3 x + y})

\int - \frac{1}{2} y d y

x \to - 1 lim (x + 3)

\frac{0.6}{s + 2}

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