Register to reply

Solve this other than punching out actual numbers

by kreil
Tags: actual, numbers, punching, series, solve
Share this thread:
Nov21-04, 08:15 AM
kreil's Avatar
P: 547
[tex] e^{i\pi}=-1 [/tex]

I was wondering how on earth this was possible. I know that:

e^z = 1 + z + \frac{z^2}{2!} + \frac{z^3}{3!}+...+\frac{z^n}{n!}



I was wondering if there is any way to solve this other than punching out actual numbers and seeing about where they converge to?
Phys.Org News Partner Science news on
'Smart material' chin strap harvests energy from chewing
King Richard III died painfully on battlefield
Capturing ancient Maya sites from both a rat's and a 'bat's eye view'
Nov21-04, 10:59 AM
P: 20
e^ix = cos x + i sin x
Nov21-04, 11:22 AM
kreil's Avatar
P: 547
thanks, I didn't know about that equation

Nov21-04, 03:50 PM
Sci Advisor
P: 6,109
Solve this other than punching out actual numbers

If you look at the power series for cos(x), sin(x) and eix, the relationship will be obvious.

Register to reply

Related Discussions
Evaluation of Numerical series by Fourier series Calculus & Beyond Homework 7
Divergent Harmonic Series, Convergent P-Series (Cauchy sequences) Calculus & Beyond Homework 1
Power series & Taylor series Calculus & Beyond Homework 4
Calculating the wavelength for series limit for the Paschen series Introductory Physics Homework 6
Balmer Series & Lyman Series Introductory Physics Homework 5