`f(n)=lim_(x->0){(1+sinx/2)(1+sinx/2^2).......(1+sinx/2^n)}^(1/x)` then find `lim_(n->oo)f(n)`

f(n)=lim_(x rarr0){(1+(sin x)/(2))(1+(sin x)/(2^(2)))......(1+(sin x)/(2^(n)))}^((1)/(x)) then find lim_(n rarr oo)f(n)

If f(n)=(lim)_(xrarroo)((1+sinpi/2)(1+sinpi/(2^2))(1+sinpi/(2^n)))^(1/x) then (lim)_(nrarro)f(n)= 1 b. e c. 0 d. oo

f(x)=lim_(n rarr oo)(1+x)(1+x^(2))(1+x^(4))..........(1+x^(2^(n-1))) then

If A=[{:(,1,a),(,0,1):}] then find lim_(n-oo) (1)/(n)A^(n)

Let f(x)=(lim)_(n->oo)(2x^(2n)sin1/x+x)/(1+x^(2n))\ then find :\ (lim)_(x->-oo)f(x)

If f(n)=(1)/(n){(n+1)(n+2)(n+3)...(n+n)}^(1//n) then lim_(n to oo)f(n) equals

Let f(x)=lim_(n->oo)(2x^(2n)sin(1/x)+x)/(1+x^(2n)) then find (a) lim_(x->oo) xf(x) (b) lim_(x->1) f(x) (c) lim_(x->0) f(x) (d) lim_(x->-oo) f(x)

Let f(x)=lim_(n to oo) sinx/(1+(2 sin x)^(2n)) then f is discontinuous at

f(x)=lim_(n rarr oo)(tan pi x^(2)+(x+1)^(n)sin x)/(x^(2)+(x+1)^(n)), find lim_(x rarr0)f(x)