Greetings! We are investigating graphically and numerically the following limit today:

Limit as x approaches 0 of (1 + x)^(1/x)

The limit by table goes to 2.7183 (e). However, when a student evaluated 10^-50 power, the calculator said it was 1 - which makes sense as you will get 1 raised to a very large number. So, what exactly IS the limit of this equation? Graphically, it appears there is a hole in the graph and not a value of 1 graphed at 0. I am puzzled on what is happening here. HELP?! Thank you! Cindy Couchman