Q.3[5] \text { Let } \mathrm{f}(\mathrm{x}) \text { be a real function and } x \in \mathbb{R} \text { . Assume that } \lim _{x \rightarrow a} f(x)=l, \text {

where } a, l \in \mathbb{R} \text { . } Is this sufficient to conclude that f(a) = l (and hence the continuity of f(x) at a)? Provide a detailed explanation and, if necessary, discuss discontinuity.