" (d) "((4k^(8)1^(2)m^(6))/(-5k^(3)^(5)m^(0)))^(4)

((4k^8l^2m^6)/(-5k^3l^5m^0))^4

("^(m)C_(0)+^(m)C_(1)-^(m)C_(2)-^(m)C_(3))+('^(m)C_(4)+^(m)C_(5)-^(m)C_(6)-^(m)C_(7))+..=0 if and only if for some positive integer k , m= (a) 4k (b) 4k+1 (c) 4k-1 (d) 4k+2

("^(m)C_(0)+^(m)C_(1)-^(m)C_(2)-^(m)C_(3))+('^(m)C_(4)+^(m)C_(5)-^(m)C_(6)-^(m)C_(7))+..=0 if and only if for some positive integer k , m= (a) 4k (b) 4k+1 (c) 4k-1 (d) 4k+2

If |{:(3^(2)+k,4^(2),3^(2)+3+k),(4^(2)+k,5^(2),4^(2)+4+k),(5^(2)+k,6^(2),5^(2)+5+k):}| =0, then sqrt(2^(k)sqrt(2^(k)sqrt(2^(k)cdotsoo))) is _____

If |{:(3^(2)+k,4^(2),3^(2)+3+k),(4^(2)+k,5^(2),4^(2)+4+k),(5^(2)+k,6^(2),5^(2)+5+k):}| =0 sqrt(2^(k)sqrt(2^(k)sqrt(2^(k)cdotsoo))) is

If |{:(3^(2)+k,4^(2),3^(2)+3+k),(4^(2)+k,5^(2),4^(2)+4+k),(5^(2)+k,6^(2),5^(2)+5+k):}| =0 sqrt(2^(k)sqrt(2^(k)sqrt(2^(k)cdotsoo))) is

If |{:(3^(2)+k,4^(2),3^(2)+3+k),(4^(2)+k,5^(2),4^(2)+4+k),(5^(2)+k,6^(2),5^(2)+5+k):}| =0, then sqrt(2^(k)sqrt(2^(k)sqrt(2^(k)cdotsoo))) is _____

Let P(k)=(1+cos((pi)/(4k)))(1+cos(((2k-1)pi)/(4k)))(1+cos(((2k+1)pi)/(4k)))(1+cos(((4k-1)pi)/(4k))) Then (a)P(3)=(1)/(16) (b) P(4)=(2-sqrt(3))/(16)P(5)=(3-sqrt(5))/(32)( d) P(6)(2-sqrt(3))/(16)

If A=[((k)/(2),0,0),(0,(l)/(2),0),(0,0,(m)/(4))] and A^(-1)= [((1)/(2),0,0),(0,(1)/(3),0),(0,0,(1)/(4))] then k+l+m=

If A=[((k)/(2),0,0),(0,(l)/(2),0),(0,0,(m)/(4))] and A^(-1)= [((1)/(2),0,0),(0,(1)/(3),0),(0,0,(1)/(4))] then k+l+m=