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

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

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limit as x approaches infinity of 1-4/x

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

1

Solution steps

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

x \to \infty lim (1) = 1

x \to \infty lim (\frac{4}{x}) = 0

= 1 - 0

Simplify

= 1

\int \frac{5}{6 e ^{2 x}} d x

3 4 - 9 x

\int \frac{x + 2}{( x + 1 ) ^{2} ( 2 x - 1 )} d x

\int \frac{sec ^{2} ( y )}{csc ( y )} d y

\frac{d}{d x} (\frac{3 x}{x ^{2} + 9})

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