What is the limit as x approaches infinity of 1/x+3 ?

The limit as x approaches infinity of 1/x+3 is 3

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limit as x approaches infinity of 1/x+3

x \to \infty lim (\frac{1}{x} + 3)

3

Solution steps

x \to \infty lim (\frac{1}{x} + 3)

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 (3)

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

x \to \infty lim (3) = 3

= 0 + 3

Simplify

= 3

x \to 2 + lim (\frac{x + 6}{x + 2})

x \to 4 + lim (f (x))

\int \frac{[ ln ( x ) ] ^{3}}{x} d x

\int (x^{8} - 25)^{9} x^{7} d x

\frac{d y}{d x} = y e^{- x}

What is the limit as x approaches infinity of 1/x+3 ?
The limit as x approaches infinity of 1/x+3 is 3