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Continuity and Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsContinuity and Differentiability1 Mark
Question
Show that function $F ( x )=\frac{1}{(x-a)}$, is discontinuous at $x=a$.
✓

Answer

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

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