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

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

Popular >

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

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

- \infty

Solution steps

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

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

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

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

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

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

= 1 \cdot (- \infty)

Apply Infinity Property:

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

= - \infty

x \to \frac{π}{2} lim (cos^{c o s (x)} (x))

t e^{2 t}

\frac{( x + 1 )}{( x + 7 )}

\int \frac{3}{x 4 - 9 ln ^{2} ( x )} d x

\frac{4 x ^{\frac{3}{2}}}{x}

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