<prompt> Tathmini jumla isiyo na kikomo sum_n1inftyfracnn44.  <response>: Kwanza, tunaweza kuangazia dhehebu kwa kutoa na kuchukua kidogo:anzaalignn4 4 n4 4n2 4 - 4n2 n2 22 - 2n2 n2 2n 2n2 - 2n 2.mwishoalignKishaanzaalignsum_n1infty fracnn4 4 sum_n1infty fracnn2 2n 2 n2 - 2n 2 frac14 sum_n 1infty fracn2 2n 2 - n2 - 2n 2n2 2n 2n2 - 2n 2 frac 1 4 sum_n1infty kushoto frac1n2 - 2n 2 - frac1n2 2n 2 kulia frac 1 4 sum_n1infty kushoto frac1n-12 1 - frac1n12 1 kulia frac14 kushoto kushoto frac102 1 - frac122 1 kulia kushoto frac 112 1 - frac132 1 kulia kushoto frac122 1 - frac14 2 1 kulia dotsb kulia.endalignZingatia kwamba darubini za jumla. Kutokana na hili tunapata kwamba jibu ni dfrac 1 4 left dfrac102 1 dfrac 1 12 1 right dfrac 3 8. 