Re: Is There a Finite Limiting Value for ... ??


In article <7b1d477b-ae4f-42a0-8048-e2a9520129bc@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
monir <monirg@xxxxxxxxxxxx> writes:
Hello;

I've the function:
f(s) = { sum[m=1 to 9] m*GM(m)*cos(m*acos(s)) } / sqrt(1 - s^2) (*)

Is there a finite limiting value for f(s) at s=1 and/or s = -1 ??

As a footnote, the coefficients GM(m), m=1,9 yield a zero value for:
sum[m=1 to 9]GM(m)*sin(m*acos(s)) at s=1 and s= -1. (**)

Thank you kindly.
Monir
if the zero would occur for numerator in (*) you could apply
l'Hospitals rule but up to the sign (*) is the derivative of (**)
hence : no
hth
peter

.

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