What is the limit as x approaches infinity of x-1/2 ?

The limit as x approaches infinity of x-1/2 is infinity

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limit as x approaches infinity of x-1/2

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

\infty

Solution steps

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

Apply Infinity Property:

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

n is odd

a = 1, n = 1

= \infty

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

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

x \to 0 lim ((5 x)^{s i n (x)})

x \to 0 lim (\frac{2021}{x})

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

What is the limit as x approaches infinity of x-1/2 ?
The limit as x approaches infinity of x-1/2 is infinity