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

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

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

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

- \infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{1 - \frac{2}{x}}

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

For

x

approaching

2

from the left

, x < 2 \Rightarrow 1 - \frac{2}{x} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

y = 5 x^{2} + 7 x - 4

4^{4 x}

\frac{\partial}{\partial y} (x \cdot cos (y))

y = \frac{6 x}{x + 5}, (- 3, - 9)

n = - \infty \sum \infty n^{2}

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