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Question: asymptotic solution for S

Question:asymptotic solution for S

kh2n 220 Maple
October 25 2010
2



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restart:

note all the parameters involved are positive where 0=<S=<1.

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A:=Theta0/C=(exp(Pec_i*k*S/(C*(R*S+1-S)))-1)*(H+1/(1-exp(-Pec_i*(1-S)/(R*S+1-S))));

(1)

 I want to find the limit of the above equation as Pec_i approches infinity and the limit which i am want is the following but I am unbale to get it.

 

 The following equation is the limit as Pec_i approches infinity of the above equation (A)

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S:= C/(k*Pec_i)*ln(1+Theta0/(C*(H-1)))+O(1/Pec_i^2);

(2)

please help me out to the the above limit.



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