What is the limit as x approaches 5-of (x^5)/((x-5)) ?

The limit as x approaches 5-of (x^5)/((x-5)) is -infinity

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limit as x approaches 5-of (x^5)/((x-5))

x \to 5 - lim (\frac{x ^{5}}{( x - 5 )})

- \infty

Solution steps

x \to 5 - lim (\frac{x ^{5}}{x - 5})

\frac{x ^{5}}{x - 5} = x^{5} \frac{1}{x - 5}

= x \to 5 - lim (x^{5} \frac{1}{x - 5})

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 5 - lim (x^{5}) \cdot x \to 5 - lim (\frac{1}{x - 5})

x \to 5 - lim (x^{5}) = 3125

x \to 5 - lim (\frac{1}{x - 5}) = - \infty

= 3125 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

\frac{2 x ^{2} + 8 x + 2}{x}

\int \frac{cos ( x ) - tan ( x )}{cos ^{2} ( x )} d x

4 x

\frac{d}{d x} (sin (x) + 4 x^{2})

n = 2 \sum \infty \frac{1}{2 i e ^{n} n ^{2}}

What is the limit as x approaches 5-of (x^5)/((x-5)) ?
The limit as x approaches 5-of (x^5)/((x-5)) is -infinity