Question

limit as x approaches to zero....x power x power x

Answer 1

0

Answer 2

\[\lim_{x \rightarrow 0} x^{x^{x}} = 0\]
because \[n^{0} = 1, so \]
\[0^{0} =1\]
so \[0^{0^{0}} = 0^1 = 0.\]

Answer 3

No the limit is 1:

limit of 0^0 is 1
1^0 = 1

Answer 4

is thie answer 0 or 1?

Answer 5

its definitely 1

try plugging in x = .00001

Answer 6

is that an indeterminate form?

Answer 7

0^0 ?
yes it is, but the limit of x^x as x->0 is 1

Answer 8

I'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.