What is the limit as x approaches infinity of 1/x+2 ?

The limit as x approaches infinity of 1/x+2 is 2

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limit as x approaches infinity of 1/x+2

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

2

Solution steps

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

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 (2)

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

x \to \infty lim (2) = 2

= 0 + 2

Simplify

= 2

y^{^{''}} + (a + b) y = 0

\int sin^{9} (x) d x

\int \frac{6}{x + 6 + x} d x

\int g (x) d x

n = 1 \sum \infty arctan (12 n)

What is the limit as x approaches infinity of 1/x+2 ?
The limit as x approaches infinity of 1/x+2 is 2