MathematicsMedium179×since 2002Q4171If f(x) = \left\{ {\matrix{ {x{e^{ - \left( {{1 \over {\left| x \right|}} + {1 \over x}} \right)}}} & {,x \ne 0} \cr 0 & {,x = 0} \cr } } \right. then f(x)f(x)f(x) isAdiscontinuous everywhereBcontinuous as well as differentiable for all xCcontinuous for all x but not differentiable at x = 0Dneither differentiable nor continuous at x = 0Check answerSkip