discuss the continuity of function f(x)=(3*x-mod(x))/5*x) x(not equal)=0 =4 x=0 i think function is discontinuous at x=0
Follow Math Help Forum on Facebook and Google+
Express $\displaystyle f(x)=\begin{Bmatrix}{ 2/5}&\mbox{ if }& x>0 \\4 & \mbox{if}& x=0\\ 4/5 & \mbox{if}& x<0\end{matrix} $ Conclude.
Originally Posted by prasum discuss the continuity of function f(x)=(3*x-mod(x))/5*x) x(not equal)=0 =4 x=0 i think function is discontinuous at x=0 Is... $\displaystyle \lim_{x \rightarrow 0+} f(x) = \frac{2}{5}$ $\displaystyle \lim_{x \rightarrow 0-} f(x) = \frac{4}{5}$ ... so that, independently from the value of f(x) in x=0, only one conclusion is possible...
View Tag Cloud