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

6 x^{2}, x^{2} + 2

n = 2 \sum \infty (\frac{1}{3})^{n}

\frac{d}{d x} (5 x^{4} - 2 x^{3} - 3 x + 2)

y^{^{''}} + 8 y^{^{'}} + 7 y = 0

\int sin (x) cos (x) 1 - sin^{4} (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