Show that function F ( x )=1 (x-a) , is discontinuous at x=a. - Vidyadip

Question

Show that function $F ( x )=\frac{1}{(x-a)}$, is discontinuous at $x=a$.

✓

Answer

In $F(x)=\frac{1}{x-a}$ Put $x=a$
$F(a)=\frac{1}{a-a}=\frac{1}{0}=$ not define
hence it is not define at $x=a$,
so it is continuous.

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