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# If f(x)=2x and $g(x)=\Large {\frac{x^2}{2}}\normalsize+1$,then which of the following can be a discontinuous function

\begin{array}{1 1}(A)\;f(x)+g(x) & (B)\;f(x)-g(x)\\(C)\;f(x).g(x) & (D)\;\frac{g(x)}{f(x)}\end{array}

Toolbox:
• A function is said to be discontinuous if the $LHL\neq RHL$
• A function is said to be discontinuous if either the LHL or RHL does not exist.
Step 1: