What is the limit as x approaches infinity of-3/2 x ?

The limit as x approaches infinity of-3/2 x is -infinity

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limit as x approaches infinity of-3/2 x

x \to \infty lim (- \frac{3}{2} x)

- \infty

Solution steps

x \to \infty lim (- \frac{3}{2} x)

Apply Infinity Property:

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

n is odd

a = - \frac{3}{2}, n = 1

= - \infty

x \to - 2 + lim (\frac{x ^{2} - 9}{x ^{2} - 2 x - 8})

n = 1 \sum \infty \frac{9 ^{n}}{n !}

x \to \infty lim (3 x + x^{2})

(0, 3), (3, 0)

\frac{d}{d x} (\frac{x ^{2} - 1}{x ^{2}})

What is the limit as x approaches infinity of-3/2 x ?
The limit as x approaches infinity of-3/2 x is -infinity