A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
limit as x approaches to zero....x power x power x
anonymous
 4 years ago
limit as x approaches to zero....x power x power x

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 0} x^{x^{x}} = 0\] because \[n^{0} = 1, so \] \[0^{0} =1\] so \[0^{0^{0}} = 0^1 = 0.\]

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0No the limit is 1: limit of 0^0 is 1 1^0 = 1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0is thie answer 0 or 1?

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.0its definitely 1 try plugging in x = .00001

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0is that an indeterminate form?

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.00^0 ? yes it is, but the limit of x^x as x>0 is 1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I'm still convinced it's 0 (see the attached plot). The limit of x^x for x>0 is 1, but for x^x^x, it should be 0.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.