(adsbygoogle = window.adsbygoogle || []).push({}); 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Limit homework problem help

**Physics Forums | Science Articles, Homework Help, Discussion**