Which is a general form of formula for developing this kind of function (a is some number) into power series?
Follow Math Help Forum on Facebook and Google+
Originally Posted by Garas Which is a general form of formula for developing this kind of function (a is some number) into power series? Some?!
OK, let's say that a belongs to Q, it's not really important i just need a formula.
for example if you want to develop this function 1/sqrt{1+x} you use that formula, so it's very applicable for any function that you can transform into like arcsinx,ln(x+sqrt{1+x}) and similar.
Originally Posted by Garas Which is a general form of formula for developing this kind of function (a is some number) into power series? Is... (1) ... and (1) is valid for any real or complex a... Kind regards
Originally Posted by Garas Which is a general form of formula for developing this kind of function (a is some number) into power series? You should look up Newton's Generalised Binomial Theorem.