How do you find the limit of $\frac{5}{x - 2}$ $5/(x-2)$ as x approaches 2?

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Answer 1 · 2016-09-25T09:42:32

negative infinity

In the graph below, we see the equation of $y = \frac{5}{x - 2}$ $y=(5)/(x-2)$ .

As x is approaching 2, the graph continues on towards negative infinity.

Therefore, the limit of $\frac{5}{x - 2}$ $(5)/(x-2)$ as x approaches 2 = negative inifinity.
graph{(5)/(x-2) [-41.1, 41.03, -20.4, 20.72]}

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