Proof of Continuity – A split function with exponential and rational functions – Exercise 6245

Exercise

Given the function

f(x) = \begin{cases} \frac{e^x+e^{-x}}{2}, &\quad x>0\\ \frac{1}{1+x^2}, &\quad x < 0\\ \end{cases}

Is it continuous at point x = 0? If not, what kind of discontinuity do you get?

Final Answer

Show final answer

Solution

Coming soon…