What is the limit as x approaches-infinity of 3x^5 ?

The limit as x approaches-infinity of 3x^5 is -infinity

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limit as x approaches-infinity of 3x^5

x \to - \infty lim (3 x^{5})

- \infty

Solution steps

x \to - \infty lim (3 x^{5})

Apply Infinity Property:

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

n is odd

a = 3, n = 5

= - \infty

x \to 0 lim ((1 + 4 x)^{\frac{2}{x}})

x \to 6 lim (15)

x \to 0 + lim (x^{2} \cdot sin (\frac{1}{x}))

x \to 0 + lim (\frac{∣ sin ( x ) ∣}{x})

x \to 0 lim (+ (sin (\frac{1}{x})))

What is the limit as x approaches-infinity of 3x^5 ?
The limit as x approaches-infinity of 3x^5 is -infinity