What is the limit as x approaches infinity of x/4+6 ?

The limit as x approaches infinity of x/4+6 is infinity

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limit as x approaches infinity of x/4+6

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

\infty

Solution steps

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

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

x \to \infty lim (\frac{x}{4}) = \infty

x \to \infty lim (6) = 6

= \infty + 6

Apply Infinity Property:

\infty + c = \infty

= \infty

x \to 0 lim (x^{2} sin^{2} (\frac{1}{x}))

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

x \to 0 + lim (x ln (x) - 1)

x \to \infty lim (- 17 x^{2})

x \to \frac{3 π}{4} lim (sin (2 x))

What is the limit as x approaches infinity of x/4+6 ?
The limit as x approaches infinity of x/4+6 is infinity