What is the limit as x approaches infinity+of 1/x+4 ?

The limit as x approaches infinity+of 1/x+4 is 4

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limit as x approaches infinity+of 1/x+4

x \to \infty + lim (\frac{1}{x} + 4)

4

Solution steps

x \to \infty lim (\frac{1}{x} + 4)

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{1}{x}) + x \to \infty lim (4)

x \to \infty lim (\frac{1}{x}) = 0

x \to \infty lim (4) = 4

= 0 + 4

Simplify

= 4

\frac{d}{d x} (\frac{6}{x - 1})

\int_{0}^{1} 3 - x^{2} d x

\frac{d y}{d t} - 26 t^{12} e^{- y} = 0

\frac{2}{( x + 1 ) ^{3}}

f (x) = \frac{4 x}{x ^{2} + 1}, (1, 2)

What is the limit as x approaches infinity+of 1/x+4 ?
The limit as x approaches infinity+of 1/x+4 is 4