A)
[tex]lim_{x\rightarrow 0^{+}} \: \: x^{\frac{a}{b}} lnx=[/tex]
B)
[tex]lim_{x\rightarrow 0^{+}} \: \: \frac{lnx}{x^{-\frac{a}{b}}}=[/tex]
C)
[tex]lim_{x\rightarrow 0^{+}} \: \: \frac{\frac{1}{x}}{- \frac{a}{b}x^{- \frac{a}{b}-1}}=[/tex]
D)
[tex]lim_{x\rightarrow 0^{+}} \: \: - \frac{b}{a} x^{\frac{a}{b}}=[/tex]
Hvordan ble C til lik D ?
l`hopitals regel
Moderatorer: Vektormannen, espen180, Aleks855, Solar Plexsus, Gustav, Nebuchadnezzar, Janhaa
-
- von Neumann
- Innlegg: 525
- Registrert: 03/10-2010 00:32
Ultimate Mathematics
http://www.youtube.com/watch?v=Qjtetxrvu18
http://www.youtube.com/watch?v=Qjtetxrvu18
[tex]-\frac{b}{a}x^{-1}\cdot x^{\frac{a}{b}+1}=-\frac{b}{a}x^{\frac{a}{b}}\\ \frac{1}{x^{-\frac{a}{b}}}=x^{\frac{a}{b}},\; \frac{1}{\frac{a}{b}} = \frac{b}{a}[/tex]
Sist redigert av claudius den 18/11-2010 20:22, redigert 1 gang totalt.
-
- von Neumann
- Innlegg: 525
- Registrert: 03/10-2010 00:32
Ultimate Mathematics
http://www.youtube.com/watch?v=Qjtetxrvu18
http://www.youtube.com/watch?v=Qjtetxrvu18