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

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

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limit as x approaches infinity of-3+4/x

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

- 3

Solution steps

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

x \to \infty lim (3) = 3

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

= - 3 + 0

Simplify

= - 3

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y^{^{''}} - 4 y^{^{'}} + 8 y = - 28 cos (2 t) - 16 sin (2 t)

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

\int (2 x^{3} + 2 x) cos (x^{2} + 1) d x

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