What is the limit as x approaches infinity of 5-2x ?

The limit as x approaches infinity of 5-2x is -infinity

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limit as x approaches infinity of 5-2x

x \to \infty lim (5 - 2 x)

- \infty

Solution steps

x \to \infty lim (5 - 2 x)

Apply Infinity Property:

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

n is odd

a = - 2, n = 1

= - \infty

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

x \to - 3 lim (3 - x)

x \to 3 lim (2 x^{2} - 4)

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

x \to - 4 lim (3 x + 2)

What is the limit as x approaches infinity of 5-2x ?
The limit as x approaches infinity of 5-2x is -infinity