math problem

[quizzelsnatch]

anybody explain to me why limit of (x+1)^(1/x) as x approaches 0 = e? i thought it'd be 1, but i don't get why it's e. IT DOESN'T MAKE SENSE!

 

[StatsManD]

Think of this limit: (1+1/n)^n as n - > infiniti is equal to e. this is the definition of e.

 

[quizzelsnatch]

okay, makes a bit more sense now. thanks.