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 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{d}{d x} (- e^{x} sin (x))

\frac{d}{d x} (x^{2} + h^{2})

\int (e^{2 x} - e^{- 2 x}) d x

\int 100 - x^{2} d x

\int_{- 1}^{1} 4 d x

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