What is the limit as x approaches 6-of (x^6)/(x-6) ?

The limit as x approaches 6-of (x^6)/(x-6) is -infinity

Popular >

limit as x approaches 6-of (x^6)/(x-6)

x \to 6 - lim (\frac{x ^{6}}{x - 6})

- \infty

Solution steps

x \to 6 - lim (\frac{x ^{6}}{x - 6})

\frac{x ^{6}}{x - 6} = x^{6} \frac{1}{x - 6}

= x \to 6 - lim (x^{6} \frac{1}{x - 6})

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 6 - lim (x^{6}) \cdot x \to 6 - lim (\frac{1}{x - 6})

x \to 6 - lim (x^{6}) = 46656

x \to 6 - lim (\frac{1}{x - 6}) = - \infty

= 46656 (- \infty)

Apply Infinity Property:

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

= - \infty

5 x, 2 x^{2}

\int x^{\frac{7}{2}} ln (x) d x

\int e^{- x} \cdot (- x) d x

\frac{\partial}{\partial x} (2 x^{4} y + 16 y^{3})

y = \frac{1}{ln ( x )}

What is the limit as x approaches 6-of (x^6)/(x-6) ?
The limit as x approaches 6-of (x^6)/(x-6) is -infinity