If `prod_(r=1)^(n)[[1,r],[0,1]]=[[1,120],[0,1]]` then n = ?

If f(n)=prod_(r=1)^(n)cos r,n in N , then

(1+x)^(n)=sum_(r=0)^(n)a_(r)x^(r)&b_(r)=1+(a_(r))/(a_(r-1))&prod_(r=1)^(n)b_(r)=((101)^(100))/(100!) then equals to: 99(b)100(c)101(d) None of these

Let P=prod_(n=1)^(oo)(10^((1)/(2n-1))) then find log_(0.01)P

If sum_(r=1)^(n)cos^(-1)x_(r)=0, then sum_(r=1)^(n)x_(r) equals to

If Sigma_(r=1)^(n) cos^(-1)x_(r)=0, then Sigma_(r=1)^(n) x_(r) equals

Let L=prod_(n=3)^(oo)(1-(4)/(n^(2)));M=prod_(n=2)^(oo)((n^(3)-1)/(n^(3)+1)) and N=prod_(n=1)^(oo)((1+n^(-1))^(2))/(1+2n^(-1)), then find then find the value of L^(-1)+M^(-1)+N^(-1)

If int _(0)^(1) (sum _(r=1) ^(2013)(x)/(x ^(2)+r ^(2)) prod_(r=1)^(2013)(x ^(2) +r ^(2) )) dx =1/2 [(prod_(r=1)^(2013)(1+r ^(2)))-k^(2)] then k=

If u(n)=prod_(r=0)^n(1+r^2/n^2)^r "then" lim_(nrarroo) (u)^((-4)/n^2

For a matrix A=[[1,2r-10,1]] then prod_(r=1)^(60)[[1,2r-10,1]]