What is the limit as k approaches infinity of 1+3/k ?

The limit as k approaches infinity of 1+3/k is 1

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limit as k approaches infinity of 1+3/k

k \to \infty lim (1 + \frac{3}{k})

1

Solution steps

k \to \infty lim (1 + \frac{3}{k})

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

= k \to \infty lim (1) + k \to \infty lim (\frac{3}{k})

k \to \infty lim (1) = 1

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

= 1 + 0

Simplify

= 1

What is the limit as k approaches infinity of 1+3/k ?
The limit as k approaches infinity of 1+3/k is 1