What is the limit as x approaches infinity of 1-5/x ?

The limit as x approaches infinity of 1-5/x is 1

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limit as x approaches infinity of 1-5/x

x \to \infty lim (1 - \frac{5}{x})

1

Solution steps

x \to \infty lim (1 - \frac{5}{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{5}{x})

x \to \infty lim (1) = 1

x \to \infty lim (\frac{5}{x}) = 0

= 1 - 0

Simplify

= 1

x \to 3 lim (5 x)

n = 0 \sum \infty (- 1)^{n} n

\int \frac{1}{( 1 - 6 x ) ^{\frac{7}{2}}} d x

x \to 0 + lim (cos (\frac{1}{x}))

x \to 2 + lim (\frac{x}{x - 2})

What is the limit as x approaches infinity of 1-5/x ?
The limit as x approaches infinity of 1-5/x is 1