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

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

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limit as x approaches 1-of (x-2)/(x-1)

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

\infty

Solution steps

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

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

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

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

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

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

= (- 1) (- \infty)

Apply Infinity Property:

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

= \infty

\frac{d}{d x} (ln (\frac{x - 1}{x + 2}))

\int_{- 3}^{5} 4 d x

f (x) = 4^{s i n (2) (x) + c o s (3 x)}

\frac{d}{d x} (\frac{x ^{2}}{x - 5})

\int \frac{1 - tan ( x )}{1 + tan ( x )} d x

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