What is the limit as x approaches infinity of 4-x/2 ?

The limit as x approaches infinity of 4-x/2 is -infinity

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limit as x approaches infinity of 4-x/2

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

- \infty

Solution steps

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

Apply Infinity Property:

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

n is odd

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

= - \infty

x \to - 5 lim (\frac{10}{x + 5})

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

x \to 1 lim (\frac{3 x + 1}{x - 1})

x \to \infty lim (\frac{3 x + x ^{- 6}}{4 x - 4})

x \to 0 lim (x^{- 3} sin (3 x) + x^{- 2} a + b)

What is the limit as x approaches infinity of 4-x/2 ?
The limit as x approaches infinity of 4-x/2 is -infinity