What is the limit as t approaches-infinity of-1/3+1/3 e^{-t^3} ?

The limit as t approaches-infinity of-1/3+1/3 e^{-t^3} is infinity

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limit as t approaches-infinity of-1/3+1/3 e^{-t^3}

t \to - \infty lim (- \frac{1}{3} + \frac{1}{3} e^{- t^{3}})

\infty

Solution steps

t \to - \infty lim (- \frac{1}{3} + \frac{1}{3} e^{- t^{3}})

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

= - t \to - \infty lim (\frac{1}{3}) + t \to - \infty lim (\frac{1}{3} e^{- t^{3}})

t \to - \infty lim (\frac{1}{3}) = \frac{1}{3}

t \to - \infty lim (\frac{1}{3} e^{- t^{3}}) = \infty

= - \frac{1}{3} + \infty

Apply Infinity Property:

- c + \infty = \infty

= \infty

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

n = 1 \sum \infty \frac{2}{n + 7}

y = 6 x, y = 2 x^{2}

\frac{d}{d x} (sin^{3} (5 x^{2}))

What is the limit as t approaches-infinity of-1/3+1/3 e^{-t^3} ?
The limit as t approaches-infinity of-1/3+1/3 e^{-t^3} is infinity