My answer has been questioned so I am going to do it a little more main stream and show that the 2 answers are the same. :)
i1=ii2=−1i3=−ii4=1i5=ii6=−1i7=−iand so the pattern continuesi4n=1i4n+1=ii4n+2=−1i4n+3=−i
Hence i3=−1andi9=i
limx→iz3+2z9+8=−i+2i+8Rationalize the denominator=2−i8+i×8−i8−i=16−2i−8i−164−−1=15−10i65=3−2i13=313−2i13
See Majid, the answer is the same
*
Hi Majid,
while z is a complex number
limx→iz3+2z9+8=−i+2i+8=−i+2i+8×i−8i−8=1+8i+2i−16−1−64=10i−15−65=2i−3−13=313−2i13
My answer has been questioned so I am going to do it a little more main stream and show that the 2 answers are the same. :)
i1=ii2=−1i3=−ii4=1i5=ii6=−1i7=−iand so the pattern continuesi4n=1i4n+1=ii4n+2=−1i4n+3=−i
Hence i3=−1andi9=i
limx→iz3+2z9+8=−i+2i+8Rationalize the denominator=2−i8+i×8−i8−i=16−2i−8i−164−−1=15−10i65=3−2i13=313−2i13
See Majid, the answer is the same
*