1. The problem statement, all variables and given/known data f(x) is a piecewise function defined as: [tex]2(2e-e^x) x<1[/tex] [tex]3\pi x-4 x>=1[/tex] Discuss the continuity of f(x) at x=1. 2. Relevant equations 3. The attempt at a solution Putting x=1 in the above function gives you 2e and [tex]3\pi -4[/tex]. They seem to be equal, but how do I prove it mathematically? I've missed something here, but dont know what.