Show that : `(1)/(i)+(1)/(i^(2))+(1)/(i^(3))+(1)/(i^(4))=0` – InterviewSolution

InterviewSolution

1.	Show that : `(1)/(i)+(1)/(i^(2))+(1)/(i^(3))+(1)/(i^(4))=0`
Answer» `(1)/(i)=(1)/(i)xx(i^(3))/(i^(3))=i^(3) = -i, (1)/(i^(2))= -1. (1)/(i^(3))=(1)/(i^(3))xx(i)/(i)=i and (1)/(i^(4)) = 1`. `therefore" "{(1)/(i)-(1)/(i^(2))+(1)/(i^(3))-(1)/(i^(4))}=(-i+1+i-1)=0`.

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