3 ms·
"By repeating this, we find that e^x is the sum of 1 periodic function. But this is absurd." No, it's not absurd. e^x is periodic with period 2 Pi I. Maybe t
by pcvarmint 13y ago
"By repeating this, we find that e^x is the sum of 1 periodic function. But this is absurd."
No, it's not absurd.
e^x is periodic with period 2 Pi I.
Maybe the article was limiting itself to real functions and the existence thereof, but this example raised eyebrows.
- DerekL 13y agoThe first sentence: "A real function is said to be periodic if there exists a real number P > 0 so that f(x+P) = f(x) for all x." Complex numbers aren't mentioned at all.