- #1
besulzbach
- 28
- 1
Consider [itex]f(x) = \sin{(ex)}[/itex]
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]?
[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.
I just do not know the LCM of [itex]\frac{2\pi}{e}[/itex] and [itex]2[/itex]
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]