First post, was not sure where to start with this one. I'm looking for an example of a function that is defined for all real numbers and for which the limit as x approaches 0 exists, but the limit as x approaches 0 is not the same as when the function f(0).
IIRC this would mean it is discontinuous (removable I think?) so would any function that when direct substitution is used returns 0/0 (and requires factoring, common denominator, conjugate, etc to find its limit) work for this? or would that still not be defined for all real numbers I guess, I'm kind of lost on where to start.