Lösungen / SolutionsLösungen / Solutions/I1S2Ue/Ex12

L = Lektion/ Leçon   -- Sprechstunde / heures de consultation
W = Work / Arbeit / Travail
A  =Anhang/  Annexe / Appendice

Ueb/Ex 1      W

a

Sum[3 - 4  k , {k, 1, Infinity}]

b

Sum[3*4^(k - 1) , {k, 1, Infinity}]

c

Sum[3*(1/4)^(k - 1) , {k, 1, Infinity}]

d

Sum[(k - 1)/k^2 * (1/5) ^(k + 1), {k, 1, 
        Infinity}]

Sum[(k - 1)/k^2 * (1/5) ^(k + 1), {k, 1, Infinity}] // 
      N

Konv., Majorante    
(1/5)  Sum[ (1/5) ^k,{k,1,Infinity}]

e

Sum[(-1)^k * (1/k)^5, {k, 1, Infinity}]

Sum[(-1)^k * (1/k)^5, {k, 1, Infinity}] // N

Konv., Leibniz

f

Sum[c[k] * x^k, {k, 1, Infinity}]

Konv., Majorante   10  Sum[ |x|^k,{k,1,Infinity}]

11 Sum[ x^k, {k, 1, Infinity}]