Maclaurin-Taylor Series

This sounds suspiciously like homework, in which case I will remind you that the answer to your question depends on where you center the series, since arcsin x isn't a continuous function.

dont worry, its not a homework problem, our homeworks are with the sine, cosine, tangent, natural logarithms and e^something. arcsine isnt one of them, unfortunatly, try centering arcsine around 1 ; since arcsine of 1 is equal to pi over 2, i just wanted to know the taylor serie of arcsine to then replace x by 1 and have the value of pi in an infinite sum...

oh an another question, for the taylor series of sinh x can we do the taylor series of (e^x - e^-x)/2., same for cosh using (e^x + e^-x)/2 and tanh using sinh/cosh? im pretty sure we can but just making sure. so yea, try the taylor series of arcsin x centered over 1...

Re: Maclaurin-Taylor Series


You probably want the Chebychev and not the Taylor expansion. More, here:

http://www.ecse.rpi.edu/Homepages/wrf/Research/Short_Notes/arcsin/fastsqrt.html