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limxiz3+2z9+8

while z is a complex number

 Jan 11, 2017

Best Answer 

 #4
avatar+118703 
+5

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

 

 

limxiz3+2z9+8=i+2i+8Rationalize the denominator=2i8+i×8i8i=162i8i1641=1510i65=32i13=3132i13

 

 

See Majid, the answer is the same   laugh    

 

 

*

 Jan 12, 2017
 #1
avatar+118703 
+5

Hi Majid,    laugh

 

while z is a complex number

 

limxiz3+2z9+8=i+2i+8=i+2i+8×i8i8=1+8i+2i16164=10i1565=2i313=3132i13

 Jan 11, 2017
 #2
avatar+101 
0

thanks Emily for the answer, I was wrong in a smal thing:

limziz3+2z9+8

zi

not x

Majid  Jan 11, 2017
 #3
avatar+118703 
0

ok :))

Melody  Jan 11, 2017
 #4
avatar+118703 
+5
Best Answer

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

 

 

limxiz3+2z9+8=i+2i+8Rationalize the denominator=2i8+i×8i8i=162i8i1641=1510i65=32i13=3132i13

 

 

See Majid, the answer is the same   laugh    

 

 

*

Melody Jan 12, 2017

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