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

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

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

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

\infty

Solution steps

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

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

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

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

x \to 2 - lim (\frac{1}{2 - x}) = \infty

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

(x y + y^{2} + x^{2}) d x - x^{2} d y = 0

x \to 0 + lim (\frac{1}{x})

x \to - 4 lim (- (\frac{6}{x + 4}))

\int cos (ln (3 x)) d x

\frac{d}{d x} (\frac{x - a}{b - a})

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