3 ms·
Can anyone explain why this is a valid operation? http://wp.com/latex.php?latex=\lim_{x%20\to%200^{+}}%20x^{x}%20%20=%20\lim_{x%20\to%200^{+}}%20\exp(\log(x^{x}
by blackrabbit 13y ago
Can anyone explain why this is a valid operation?
http://wp.com/latex.php?latex=\lim_{x%20\to%200^{+}}%20x^{x}%20%20=%20\lim_{x%20\to%200^{+}}%20\exp(\log(x^{x}))&bg=ffffff&fg=000&s=0 http://wp.com/latex.php?latex=\lim_{x%20\to%200^{+}}%20x^{x}...
- my_username_is_ 13y agoit's using log to mean log base e, also known as the natural log or ln. you can do that because they're inverse operations (I think that's the right term for it, it's been a while since a formal math class) so they undo each other
- clebio 13y agoYes. It's an identity relationship. x = exp(log(x)) http://en.wikipedia.org/wiki/List_of_logarithmic_identities#Canceling_exponentials http://en.wikipedia.org/wiki/List_of_logarithmic_identities#...
- blackrabbit 13y agoThanks!