What is the limit as t approaches 8-of (t^8)/(t-8) ?

The limit as t approaches 8-of (t^8)/(t-8) is -infinity

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limit as t approaches 8-of (t^8)/(t-8)

t \to 8 - lim (\frac{t ^{8}}{t - 8})

- \infty

Solution steps

t \to 8 - lim (\frac{t ^{8}}{t - 8})

\frac{t ^{8}}{t - 8} = t^{8} \frac{1}{t - 8}

= t \to 8 - lim (t^{8} \frac{1}{t - 8})

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

= t \to 8 - lim (t^{8}) \cdot t \to 8 - lim (\frac{1}{t - 8})

t \to 8 - lim (t^{8}) = 16777216

t \to 8 - lim (\frac{1}{t - 8}) = - \infty

= 16777216 (- \infty)

Apply Infinity Property:

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

= - \infty

\int - \frac{2200 x}{25 - x ^{2}} d x

x \to 0 lim (x ln (x^{3}))

\frac{x - y}{x + y}

y^{^{''}} + 9 y^{^{'}} + 14 y = 0

f (x) = ln (\frac{x + 2}{x ^{2}}), at x = 1

What is the limit as t approaches 8-of (t^8)/(t-8) ?
The limit as t approaches 8-of (t^8)/(t-8) is -infinity