What is the limit as x approaches infinity of 2/x+3 ?

The limit as x approaches infinity of 2/x+3 is 3

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limit as x approaches infinity of 2/x+3

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

3

Solution steps

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

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

x \to \infty lim (\frac{2}{x}) = 0

x \to \infty lim (3) = 3

= 0 + 3

Simplify

= 3

x \to \infty lim ((1 + a x)^{\frac{b}{x}})

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

x \to \infty lim (18)

x \to - \infty lim (3 x^{2})

x \to 0 lim (+ x^{t a n (x)})

What is the limit as x approaches infinity of 2/x+3 ?
The limit as x approaches infinity of 2/x+3 is 3