Discuss the continuity of the function ...

Discuss the continuity of the function
` f(x) = underset(n to oo)(Lt) (log (2 + x) - x^(2n) sin x)/(1 + x^(2n)) " at " x = 1 ` .

Verified by Experts

The correct Answer is:

Discontinuous at x=1

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function f given by f(x)= x^(3)+x^(2)-1 .

underset(x to oo)"Lt" 1/x^(2)=

underset(x to oo)"Lt" x[,log(x+1)-logx]=

Let f(x)= underset(n to 00) (Lt) (x^(2n)-1)/(x^(2n)+1) , then

The set of points of disconitunity of the function f(x)= underset(n to oo) (Lt) ((2sinx)^(2n))/(3n^(2)-(2cosx)^(2n))is

underset(x to 0)"Lt" {1/x-(log(1+x))/(x^(2))}=

Discuss the continuity of the function f defined by {{:(x+2," if "x le 1),(x-2," if "x gt 1):} .

Discuss the continuity of the function f given by {{:(x," if "x ge 0),(x^2," if "x lt 0):} .

underset(x to -oo)"Lt" (x^(4).sin(1//x)+x^(2))/(1+|x|^(3))=