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

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

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

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

- \infty

Solution steps

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

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}} - x) = - \infty

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

= - \infty

y^{^{''}} - (\frac{6}{x}) y^{^{'}} - (\frac{3}{x ^{2}}) y = 0

n = 1 \sum \infty n - 1

\frac{d}{d x} ((sin (x))^{6})

\frac{d}{d x} (\frac{x ^{2}}{y})

\int \frac{1}{1 - u ^{2}} d u

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