2. The plot represents a function that is continuous at [tex]x=a[/tex] - that is, there are no breakages in plotted curve - so
[tex]\displaystyle\lim_{x\to a}f(x)=f(a)=b[/tex]
4. Unlike in (2), there is a jump discontinuity which makes the limit as [tex]x\to a[/tex] non-existent.
