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

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

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limit as x approaches+(-infinity)+of x^5

x \to + (- \infty) + lim (x^{5})

- \infty

Solution steps

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

Apply Infinity Property:

x \to - \infty lim (a x^{n} + \dots + b x + c) = - \infty, a > 0,

n is odd

a = 1, n = 5

= - \infty

\frac{d y}{d x} = \frac{5 x}{2 y}

y = x^{- 3}, 1 \leq x \leq 6

\int_{- 2}^{2} x^{2} - 2 d x

\int ln (3 - x) d x

\int_{1}^{2} \frac{x - 1}{2 x} d x

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