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

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

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limit as x approaches infinity of 2-1/x

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

2

Solution steps

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

x \to \infty lim (2) = 2

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

= 2 - 0

Simplify

= 2

\int \frac{4 x + 1}{x ^{2}} d x

y^{^{'}} = 3 + t - y, y (0) = 1

\int_{1}^{3} (x^{2} - 5 x + 3) d x

- 1

\frac{d}{d x} (cos^{2} (e^{c o s^{2} (x)}))

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