Find the values of `a` if `f(x)=("lim")_(nvecoo)(a x^(2n)+2)/(x^(2n)+a+1)` is continuous at `x=1.`

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.

Discuss the continuity of f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)

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

Find the value of n, if lim_(xto2) (x^(n)-2^(n))/(x-2)=80 , n in N .

Let f(x)=lim_(ntooo) (x)/(x^(2n)+1). Then f has

Consider f(x) =x^(2)+ax+3 and g(x) =x+band F(x) = lim_( n to oo) (f(x)+x^(2n)g(x))/(1+x^(2n)) If F(x) is continuous at x=-1, then

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

Discuss the continuity of f(x)=("lim")_(n->oo)cos^(2n)xdot

Find the value of ' a ' if the function f(x) defined by f(x)={2x-1,\ \ \ x 2 is continuous at x=2

Find the value of f(1) that the function f(x)= (9(x^(2/3)-2x^(1/3)+1))/((x-1)^(2)), x ne 1 is continuous at x =1