[" 5."n in N,((1+i)/(sqrt(2)))^(8n)+((1-i)/(sqrt(2)))^(8n)=],[[" 1) "0," 2) "1," 3) "2," 4) "-2]]

If n in N((1+i)/(sqrt(2)))^(8n)+((1-i)/(sqrt(2)))^(8)n is

((-1+i sqrt(3))/(2))^(3 n)+((-1-i sqrt(3))/(2))^(3 n)=

When n=8,(sqrt(3)+i)^(n)+(sqrt(3)-i)^(n)=

the value of ((-1+sqrt(3)i)/(2))^(3n)+((-1-sqrt(3)i)/(2))^(3n)=

If i^(2)=-1 and ((1+i)/(sqrt2))^(n)=((1-i)/(sqrt2))^(m)=1, AA n, m in N , then the minimum value of n+m is equal to

n is any integer then arg(((sqrt(3)+i)^(4n+1))/((1-sqrt(3)i)^(4n)))=....

For any integer n,the argument of ((sqrt(3)+i)^(4n+1))/((1-i sqrt(3))^(4n))

For any integer n, the argument of ((sqrt(3)+i)^(4 n+1))/((1-i sqrt(3))^(4 n)) is

If n is a positive interger,them (sqrt(5)+1)^(2n+1)-(sqrt(5)-1)^(2n-1) is

lim_(n rarr oo)(sin(1)/(sqrt((n))))((1)/(sqrt(n+1)))^(+(1)/(sqrt(n+2))+(1)/(sqrt(n+2)))