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)_(nvecoo)(x^(2n)-1)/(x^(2n)+1)

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

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

Find the number of integers lying in the interval (0,4) where the function f(x)=(lim)_(nvecoo)(cos(pix)/2)^(2n) is discontinuous

Evaluate: ("lim")_(nvecoo)((a1 1/x+a2 1/x++a n1/x)/n)^(n x)

Draw the graph of the function y= f(x) = lim_(n to oo) (x^(2n)-1)/(x^(2n)+1) . Is this function same as the function g(x) = "sgn"(x^(2)-1) .

Find the values of aa n db if f(x)={a x^2+1,xlt=1 ,x^2+a x+b ,x >1"i s differentiable at"x=1

Evaluate ("lim")_(nvecoo){cos(x/2)cos(x/4)cos(x/8) cos(x/(2^n))}

(lim)_(nvecoo)n/(2^n)int_0^2x^n dxe q u a l s___