1+x/1!+x^2/2!+.......x^n/n!
Chat with our AI personalities
If the formula for additional terms was the summation of the term before it, the nth term of the series would be the sum of all terms prior. In other words it would be the summation of a through n minus 1.
The summation of a geometric series to infinity is equal to a/1-rwhere a is equal to the first term and r is equal to the common difference between the terms.
It can be derived from the series expansion for the sine, the cosine, and the exponential function. More details here: http://en.wikipedia.org/wiki/Euler's_formula#Using_power_series
There is no simplifying formula for the sine of a product of two angles.
It's not. It depends on the method you use for summation whether summation > integral or integral > summation.