[" 16.If "f(n,theta)=prod_(r=1)^(n)(1-tan^(2)(theta)/(2^(r)))," then compute "lim_(n rarr oo)f(n,theta)],[" Sol."]

Q.if f(n,theta)=prod_(r=1)^(n)(1-tan^(2)((theta)/(2^(t)))), then compute lim_(n rarr oo)f(n,theta)

Q. if f(n,theta)=prod_(r=1)^n(1-tan^2(theta/2^r)) , then compute lim_(n->oo)f(n,theta)

if f(n,theta)=prod_(r=1)^(n) (1-tan^(2)(theta)/(2^(r))) then the value of lim_(thetato0) [lim_(ntoinfty) f(n,theta)] , (where [x] represent the greatest integer function) is

lim_(n rarr oo) (sin n theta)/(sqrt n) =

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

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

f_(n)(theta)=sum_(n=1)^(n)tan((theta)/(2^(n)))sec((theta)/(2^(n-1))), then compute the value of f_(4)((4 pi)/(3))

The value of lim_(n rarr oo)prod_(r=0)^(n)(1+(1)/(2^(2^(r)))) is