Advanced Search

Question: Weird series expansion

Question:Weird series expansion

digerdiga 385 Maple 17
series
November 19 2013
1

Usually maple returns the behaviour about the expansion point, but now I get a series in terms of weird powers...

I think the behaviour is logarithmic, but thats not what maple reproduces.

What results in this behaviour of maple?

limitxkl.mw

restart; with(MultiSeries); assume(omega > 0, s > 0, s < 1); x := arctanh(sqrt((1-s)/(1+s))*tanh((1/2)*omega*t)); xinf := limit(x, t = infinity)

arctanh(((1-s)/(1+s))^(1/2))

 (1)

y := solve(.9*xinf = x, t)

2.*arctanh(tanh(.9000000000*arctanh(((1.-1.*s)/(1.+s))^(1/2)))/((1.-1.*s)/(1.+s))^(1/2))/omega

 (2)

y := 2*arctanh(sqrt((1+s)/(1-s))*tanh(.6*arctanh(sqrt((1-s)/(1+s)))))/omega

2*arctanh(((1+s)/(1-s))^(1/2)*tanh(.6*arctanh(((1-s)/(1+s))^(1/2))))/omega

 (3)

series(y, s = 0)

23.71899812/omega-0.1319507911e11*s^.6000000000/omega+0.1000000000e11*s^1./omega+0.8705505636e20*s^1.200000000/omega-0.1319507911e21*s^1.600000000/omega-0.7657989038e30*s^1.800000000/omega+O(s^2.000000000)

 (4)

NULL



Download limitxkl.mw

 
Please Wait...