What is the limit as x approaches infinity of 5+6/x ?

The limit as x approaches infinity of 5+6/x is 5

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limit as x approaches infinity of 5+6/x

x \to \infty lim (5 + \frac{6}{x})

5

Solution steps

x \to \infty lim (5 + \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 (5) + x \to \infty lim (\frac{6}{x})

x \to \infty lim (5) = 5

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

= 5 + 0

Simplify

= 5

n = 0 \sum \infty 4^{- n}

\frac{d}{d y} (y cos (x) + 2 x e^{y})

2 y^{^{''}} - 4 y^{^{'}} + 8 y = 0

y^{^{''}} + 3 y^{^{'}} + 2 y = t

f (x) = 3 (x)^{2} - 2 (x)

What is the limit as x approaches infinity of 5+6/x ?
The limit as x approaches infinity of 5+6/x is 5