limit as x approaches 5 of 6/(x-5) — step-by-step solution

Let's evaluate the limit of

\frac{6}{x - 5}

when

x \to 5

ⓘ The limit of a sum of finite limits is the sum of the limits

The limit of

x - 5

5 - 5

when

x \to 5

⇥Let's evaluate:

5 - 5

⇥ⓘ Start from

5

and move back

5

on the number line, down to zero:

5 - 5

0

⇥

0

From the left, the limit is

-∞

; from the right, it is

+∞

. They differ: the limit of

\frac{6}{x - 5}

does not exist when

x \to 5

▶Limit:

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