What is the limit as x approaches infinity of 10x-6x ?

The limit as x approaches infinity of 10x-6x is infinity

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limit as x approaches infinity of 10x-6x

x \to \infty lim (10 x - 6 x)

\infty

Solution steps

x \to \infty lim (10 x - 6 x)

Apply Infinity Property:

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

n is odd

a = 4, n = 1

= \infty

x \to 5 lim (\frac{x + 5}{x - 1})

x \to 0 + lim (4 x ln (x))

x \to - 3 + lim (\frac{x + 2}{x ^{2} - 9})

x \to - 1 lim (\frac{x}{x})

x \to 0 lim ([\frac{1}{x ^{2}} - \frac{1}{ln ( 1 + x ^{2} )}])

What is the limit as x approaches infinity of 10x-6x ?
The limit as x approaches infinity of 10x-6x is infinity