What is the limit as x approaches infinity of 4-3/x ?

The limit as x approaches infinity of 4-3/x is 4

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limit as x approaches infinity of 4-3/x

x \to \infty lim (4 - \frac{3}{x})

4

Solution steps

x \to \infty lim (4 - \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 (4) - x \to \infty lim (\frac{3}{x})

x \to \infty lim (4) = 4

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

= 4 - 0

Simplify

= 4

5 - x^{2}, sin (x), - 2.385, 2.025

(4 - x^{2})^{5}

\int (e^{x} + \frac{1}{3 x}) d x

x \to - 4 + lim ([x])

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

What is the limit as x approaches infinity of 4-3/x ?
The limit as x approaches infinity of 4-3/x is 4