(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

*indeterminate* oops

the limit of x^x as x goes to zero from the right

2. Relevant equations

Going to be using L'hopital, and related algebraic manipulations to convert to indefinite form 0/0, infinity/infinity

3. The attempt at a solution

My understanding is that this limit produces initially by plugging in 0 the indefinite exponential form 0^0, and so I have the choice to either:

a) take natural log, bring down the x...

b) write in exponential form of 'e'

I always use the log method bc I dont really get truly whats going on in method b. When I use 'a', I end up with the form -x, which gives me a limit of 0. When 'b' is used, the textbook says the limit is 1, because 'e'^xlnx = 'e'^0 = 1. This is in Stewart's single var. calc text as an exponential indefinite form example.

Thanks.

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

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

# Homework Help: Indefinite forms and l'hopital

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