What is the limit as x approaches infinity of x+3/(xxx) ?

The limit as x approaches infinity of x+3/(xxx) is infinity

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limit as x approaches infinity of x+3/(xxx)

x \to \infty lim (x + \frac{3}{xxx})

\infty

Solution steps

x \to \infty lim (x + \frac{3}{xxx})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (x) + x \to \infty lim (\frac{3}{xxx})

x \to \infty lim (x) = \infty

x \to \infty lim (\frac{3}{xxx}) = 0

= \infty + 0

Apply Infinity Property:

\infty + c = \infty

= \infty

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

x \to 2 lim (3 + ∣ 2 x - 4 ∣)

x \to - 2 - lim (\frac{x + 2}{∣ x + 2 ∣})

x \to 0 - lim (x e^{- \frac{1}{x}})

x \to 0 lim (\frac{6 ^{x} - 6 ^{- x}}{x})

What is the limit as x approaches infinity of x+3/(xxx) ?
The limit as x approaches infinity of x+3/(xxx) is infinity