# limits!!

• Oct 25th 2012, 08:24 AM
pnfuller
limits!!
• Oct 25th 2012, 08:38 AM
HallsofIvy
Re: limits!!
You have $P(E)= \frac{e^E+ e^{-E}}{e^E- e^{-E}}- \frac{1}{E}$ and you want to take the limit as E goes to 0 from above.

Now, what have YOU done on this? Have you tried, for example, combining the two fractions? Could you use L'Hopital's rule? Did you consider dividing both numerator and denominator by $e^E$?
• Oct 25th 2012, 10:53 AM
pnfuller
Re: limits!!
what is the constants in the equation above? do you have to apply l'hospitals rule to the limit once you combine the fraction and divide the numerator and denominator by http://latex.codecogs.com/png.latex?e^E
Quote:

Originally Posted by HallsofIvy
You have $P(E)= \frac{e^E+ e^{-E}}{e^E- e^{-E}}- \frac{1}{E}$ and you want to take the limit as E goes to 0 from above.

Now, what have YOU done on this? Have you tried, for example, combining the two fractions? Could you use L'Hopital's rule? Did you consider dividing both numerator and denominator by $e^E$?