Question

Find the (one-sided) limit for: \[ \lim_{x \rightarrow 0^+} x^{x^4} \]

Answer 1

\[\lim_{x \rightarrow 0^+} x^{x^4}=0^{+0^{+4}}=0^{+0}=1\]

Answer 2

\[0^0\] is indeterminate, you cannot make that assumption there thought the conclusion is correct

Answer 3

"though"

Answer 4

i had a little plus sign up there in the index

Answer 5

why does that matter?

Answer 6

because it was zero times it self a little bit more than zero times,

Answer 7

no it is not

Answer 8

it is something "close to" 0

Answer 9

a little bit more that zero is close to zero

Answer 10

"because it was zero times it self a little bit more than zero times, ";

Answer 11

you are implying that the is zero in your statement

Answer 12

I still do not follow why you claim \[0^{+^{0^+}}\] is not indeterminate