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Aliocha

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How to simplify an expression witrh séri...

Aliocha 80 Maple
sum simplification
May 02 2022
2 4

The serie is :Sum(-5*3^(-k - 1)*(x - 2)^k, k = 0 .. infinity)

How to simplify (with collect ? with convert ?...) this expression to get this more "traditionnal" writing :

-5/3*sum(((x - 2)/3^k)^k, k = 0 .. infinity)

Thank you for your help.

Integral of Dirichlet with LineInt...

Aliocha 80 Maple 2021
residue vectorcalculus line-integral
April 30 2021
1 6

Hello,

I am trying to calculate the Dirichlet integral with the residue theorem and the LineInt command. I use the classic lace (Cf below) and the function exp(iz)/z. I don't understand why the LineInt function returns zero on the top semicircle. The result should depend on r and only be zero for limit(%, R = infinity).

Thanks for your help.

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