What is the limit as x approaches 0-of (x-59)/x ?

The limit as x approaches 0-of (x-59)/x is infinity

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limit as x approaches 0-of (x-59)/x

x \to 0 - lim (\frac{x - 59}{x})

\infty

Solution steps

x \to 0 - lim (\frac{x - 59}{x})

Divide by highest denominator power:

1 - \frac{59}{x}

= x \to 0 - lim (1 - \frac{59}{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{59}{x})

x \to 0 - lim (1) = 1

x \to 0 - lim (\frac{59}{x}) = - \infty

= 1 - (- \infty)

Simplify

1 - (- \infty) : \infty

= \infty

\frac{d}{d x} ((4^{\frac{2}{3}} - x^{\frac{2}{3}})^{\frac{3}{2}})

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

\frac{\partial}{\partial y} (y - e^{t})

\frac{d}{d x} (\frac{x y + 2 y - x - 2}{x y - 3 y + x - 3})

csc (y) d x + sec (2 x) d y = 0

What is the limit as x approaches 0-of (x-59)/x ?
The limit as x approaches 0-of (x-59)/x is infinity