What is the limit as x approaches 0 of 1-2/(x-3) ?

The limit as x approaches 0 of 1-2/(x-3) is 5/3

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limit as x approaches 0 of 1-2/(x-3)

x \to 0 lim (1 - \frac{2}{x - 3})

\frac{5}{3}

Decimal

1.66666 \dots

Solution steps

x \to 0 lim (1 - \frac{2}{x - 3})

Plug in the value

x = 0

= 1 - \frac{2}{0 - 3}

Simplify

1 - \frac{2}{0 - 3} : \frac{5}{3}

= \frac{5}{3}

What is the limit as x approaches 0 of 1-2/(x-3) ?
The limit as x approaches 0 of 1-2/(x-3) is 5/3