KAMP

Kategori Umum => Matematika => Topik dimulai oleh: trfrm pada Juli 20, 2018, 11:16:51 AM

Judul: Imaginary Numbers & Negative Powers
Ditulis oleh: trfrm pada Juli 20, 2018, 11:16:51 AM

Kutip dari: Markus Hanke;397013

Remember that anything to the power of zero always yields 1; that is how it is defined.

Excuse me ... . :)

$x^0=1$ if $x\neq0$ ... .

If $x=0$, then $x^0=0^0$ is undetermined ... because

$\displaystyle\lim_{x\rightarrow0^+}0^x=0$, and $\displaystyle\lim_{x\rightarrow0^-}0^x$ is undetermined ... .

But, however, $\displaystyle\lim_{x\rightarrow0}x^0=1$ ... .