[" 8.If "f(x)=lim_(n rarr oo)e^(x tan((1)/(n))*log((1)/(n)))" and,then "],[int(f(x))/(root(3)(sin^(11)x*cos x))dx=g(x)+c]

If f(x)=lim_(n rarr oo)e^(tan((1)/(n))log((1)/(n))) and int(f(x))/(((sin^(11)x*cos x))^((1)/(3)))=g(x) then

If f(x)=lim_(n rarr oo)n^(2)(x^((1)/(n))-x^((1)/(n)+1)),x>0 then int xf(x)dx is

let f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1)

If f(x)=lim_(n rarr oo)(tan pi x^(2)+(x+1)^(n)sin x)/(x^(2)+(x+1)^(n)) then

If f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1) then range of f(x) is

Let f(x)=lim_(n rarr oo)(cos x)/((1+tan^(-1)x)^(n)), then int_(0)^(oo)f(x)dx=

Let f(x)=lim_(n rarr oo)(log(2+x)-x^(2n)sin x)/(1+x^(2n)) then

If f(x)=lim_(n rarr oo)n(x^((1)/(n))-1) then for x>0,y>0,f(xy) is equal to

If f(x)=lim_(n rarr oo)(x^(n)-x^(-n))/(x^(n)+x^(-n)),x>1 then int(xf(x)log(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx is

If f(x)=lim_(n rarr oo)tan^(-1)(4n^(2)(1-cos((x)/(n)))) and g(x)=lim_(n rarr oo)(n^(2))/(2)ln cos(2(x)/(n)) then lim_(x rarr0)(e^(-2g(x))-e^(f(x)))/(x^(6)) equals