What is the limit as x approaches infinity of 1-3/x ?

The limit as x approaches infinity of 1-3/x is 1

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limit as x approaches infinity of 1-3/x

x \to \infty lim (1 - \frac{3}{x})

1

Solution steps

x \to \infty lim (1 - \frac{3}{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{3}{x})

x \to \infty lim (1) = 1

x \to \infty lim (\frac{3}{x}) = 0

= 1 - 0

Simplify

= 1

\frac{d}{d y} (- x y)

\frac{d y}{d x} = \frac{x ^{5}}{3 y ^{2}}

\frac{d}{d x} ((\frac{x}{9})^{2} + (\frac{y}{4})^{2}) = 1

4 - x^{2}, x - 2

\int \frac{1}{9 + 2 x} d x

What is the limit as x approaches infinity of 1-3/x ?
The limit as x approaches infinity of 1-3/x is 1