What is the limit as n approaches infinity of 3+i^n ?

The limit as n approaches infinity of 3+i^n is Undefined

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limit as n approaches infinity of 3+i^n

n \to \infty lim (3 + i^{n})

Undefined

Solution steps

n \to \infty lim (3 + i^{n})

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

= n \to \infty lim (3) + n \to \infty lim (i^{n})

n \to \infty lim (3) = 3

n \to \infty lim (i^{n}) =

Undefined

= 3 + Undefined

= Undefined

x \to 1 lim (ln (\frac{1}{x - 1}))

x \to - 1 lim (3 x^{3} - 4 x + 8)

x \to 3 lim (\frac{x - 5}{x ^{2} - 9})

x \to 0 + lim (\frac{1}{x} sin (\frac{x}{2}))

x \to 2 lim (\frac{2 x - 1}{x - 2})

What is the limit as n approaches infinity of 3+i^n ?
The limit as n approaches infinity of 3+i^n is Undefined