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

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

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

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

- \infty

Solution steps

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

\frac{x - 1}{x ^{2}} = (x - 1) \frac{1}{x ^{2}}

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

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

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

x \to 0 + lim (x - 1) = - 1

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

= (- 1) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\int_{0}^{2} \frac{x - 1}{x + 1} d x

ln (\frac{2 x + 3}{3 x - 4})

\int \frac{7}{35 sin ( x ) - 12 cos ( x )} d x

\int_{0}^{t} e^{- x^{2}} d x

n = 0 \sum \infty (- 3 x)^{n}

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