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and [itex]g(x) = \sin{(\pi x)}[/itex]

Determine the period of [itex]f(x) + g(x)[/itex]?

Is it possible?

Would [itex]LCM[\frac{2\pi}{e}, 2] = \frac{2\pi}{e}[/itex]?

## Homework Equations

[itex]e = \lim_{h \to 0} (1 + h)^\frac{1}{h} \approx 2.718281828[/itex]

The period of the sum of the functions would be the LCM of their periods.

## The Attempt at a Solution

I just do not know the LCM of [itex]\frac{2\pi}{e}[/itex] and [itex]2[/itex]