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

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

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limit as x approaches infinity of 1+2/x

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

1

Solution steps

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

x \to \infty lim (1) = 1

x \to \infty lim (\frac{2}{x}) = 0

= 1 + 0

Simplify

= 1

\int (5 x - 2) d x

\int 4 x - 7 d x

y = 0, y = x^{2}, y^{2} = x

x^{2} arctan (9 x)

y^{^{''}} - y = 2

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