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

Discuss the continuity of f(x)=sgn(2cosx-1)

Discuss the continuity of f(x)=sgn(x^2-2x+3)

Discuss the continuity of f(x)=(log|x|)sgn(x^2-1),x!=0.

Discuss the continuity of f(x)in[0,2],w h e r ef(x)=(lim)_(nvecoo)(s in(pix)/2)^(2n)

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

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) .

Discuss the continuity of f(x)={1/(e^(x-1)),x!=1 0,x=1

Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|),x!=1,2, 6,x=1, 12 ,x=2

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.