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## Homework Statement

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.

## Homework Equations

## 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.