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

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

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

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

0

Solution steps

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

Plug in the value

x = 1

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

Simplify

= 0

\frac{d}{d x} (- \frac{1}{1 + x})

\frac{d}{d x} ((x^{\frac{1}{2}}) \cdot (x^{2} + x - 4))

\frac{d}{d x} (x^{3} + b x^{2} + c x + d)

\frac{\partial}{\partial y} (sin (x y) + x sin (y))

x \to - 1 - lim ((x + 2 x^{3})^{4})

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