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## Homework Statement

Calculate the following limit for real [itex] t [/itex]-s.

[tex]

\sum_{n=0}^{∞} exp[i\cdot \sqrt{n + 1}\cdot t] / n!

[/tex]

## Homework Equations

None

## The Attempt at a Solution

Without the root it's trivial... I am not sure if it is even possible to give a closed form, I am out of ideas. Any help would be greatly appreciated!