Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

Let f(x)=lim_(n rarr oo)(sin x)^(2n)

Let f(x)=lim_( n to oo) (x^(2n-1) + ax^2 +bx)/(x^(2n) +1) . If f is continuous for x in R , then the value of a+8b is

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

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

Let f(x)= lim_(n->oo)(sinx)^(2n)

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

Let f (x) =x ^(2) +ax+3 and g (x) =x+b, where F (x) =lim _(xto oo) (f(x) +(x^(2))g (x))/(1+(x ^(2))^(n)). If F (x) is continous at x=1 and x=-1 then find the value of (a^(2) +b ^(2))

A function f:Rvec R is defined as f(x)=(lim)_(n rarr)(ax^(2)+bx+c+e^(nx))/(1+c.e^(nx)) is continuous on R then find the values of a,b,c.

Let f(x)=lim_(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)) . then