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

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

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limit as x approaches infinity of 4-1/x

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

4

Solution steps

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

x \to \infty lim (4) = 4

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

= 4 - 0

Simplify

= 4

\int \frac{sec ^{2} ( x )}{tan ^{2} ( x )} d x

x \to - 4 lim (3 x + 1)

\frac{\partial}{\partial h} (2 π r h + π r^{2})

\frac{d}{d x} (\frac{2 y}{3 x ^{2} + 2 y ^{2}})

y^{^{''}} + 14 y^{^{'}} + 85 y = 0

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