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

The limit as x approaches 2 of 1/x-1/(x^2) is 1/4

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

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

\frac{1}{4}

Decimal

0.25

Solution steps

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

Plug in the value

x = 2

= \frac{1}{2} - \frac{1}{2 ^{2}}

Simplify

\frac{1}{2} - \frac{1}{2 ^{2}} : \frac{1}{4}

= \frac{1}{4}

What is the limit as x approaches 2 of 1/x-1/(x^2) ?
The limit as x approaches 2 of 1/x-1/(x^2) is 1/4