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

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

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

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

- \infty

Solution steps

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

Divide by highest denominator power:

1 - \frac{1}{x}

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

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

With the exception of indeterminate form

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

x \to 0 + lim (1) = 1

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

= 1 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\int \frac{( cos ( x ) - 1 )}{x} d x

\int \frac{1}{- \frac{1}{x ^{2}} + 2 x} d x

y = 5 x^{3} + 6 x^{2} - 3 x, (- 1, 4)

t = 0 \sum \infty \frac{1}{1.0 1 ^{t}}

y = 4 8 x^{2} - 9

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