What is the limit as x approaches infinity of 3+6/x ?

The limit as x approaches infinity of 3+6/x is 3

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limit as x approaches infinity of 3+6/x

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

3

Solution steps

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

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

x \to \infty lim (3) = 3

x \to \infty lim (\frac{6}{x}) = 0

= 3 + 0

Simplify

= 3

b \to \infty lim (sin (b))

x \to - 2 lim (2 - x)

x \to \infty lim (\frac{2 x - 4}{7 x + 6})

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

x \to 0 lim (\frac{sin ( 16 x )}{x})

What is the limit as x approaches infinity of 3+6/x ?
The limit as x approaches infinity of 3+6/x is 3