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

x \to \infty lim ((\frac{4 x + 3}{x ^{2} + 3 x - 4}) sin (3 x - 2 π))

x \to p (x) lim (\frac{g ( x ) { x } - g ( x ) { p ( x ) }}{x - p ( x )})

x \to \infty lim (\frac{π}{2} arctan (x))

x \to \infty lim (\frac{x ^{3} + 2 x ^{2} + 3 x + 4}{4 x ^{2} + 3 x ^{2} + 2 x + 1})

x \to - \infty lim (5 - x^{2})

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