What is the limit as x approaches-3-of (2x-1)/(9+3x) ?

The limit as x approaches-3-of (2x-1)/(9+3x) is infinity

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limit as x approaches-3-of (2x-1)/(9+3x)

x \to - 3 - lim (\frac{2 x - 1}{9 + 3 x})

\infty

Solution steps

x \to - 3 - lim (\frac{2 x - 1}{9 + 3 x})

\frac{2 x - 1}{9 + 3 x} = (2 x - 1) \frac{1}{9 + 3 x}

= x \to - 3 - lim ((2 x - 1) \frac{1}{9 + 3 x})

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 (2 x - 1) \cdot x \to - 3 - lim (\frac{1}{9 + 3 x})

x \to - 3 - lim (2 x - 1) = - 7

x \to - 3 - lim (\frac{1}{9 + 3 x}) = - \infty

= (- 7) (- \infty)

Apply Infinity Property:

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

= \infty

x \to 3 lim (1 0^{x^{2} - 2 x})

x \to 4 lim (\frac{x - 4}{x ^{2} - 4})

x \to 0 - lim (\frac{4}{x ^{5}})

x \to 4 lim (\frac{2 - x}{2 x - 8})

x \to 2 lim (sin (\frac{π x}{12}))

What is the limit as x approaches-3-of (2x-1)/(9+3x) ?
The limit as x approaches-3-of (2x-1)/(9+3x) is infinity