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

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

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

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

- \infty

Solution steps

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

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{1}{x} - \frac{1}{x ^{2}}) = - \infty

x \to 0 + lim (\frac{1}{x} - \frac{1}{x ^{2}}) = - \infty

= - \infty

x \to - \infty lim (\frac{4}{x} - 5)

\frac{d y}{d x} = \frac{x ^{3} + y ^{3}}{3 x y ^{2}}

f (x) = \frac{2}{x}, at x = 9

(3.2) (- 1.2)

n = 1 \sum \infty \frac{n + 1}{n ^{2}}

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