How do you use l'Hopital's rule when you don't have any equations for the lines, just a graph without numerical distinctions? When, for example, a function is representative of the ratio of two functions on the graph?

Question

amistre64 · Answer

the graph tells you the limits right?   Lhoptials rule is for working th enumbers without a graph i thiought

amistre64 · Answer

you can try to match an equation to the graph; by plotting points and wrapping a curve to it;  or you can try to work out a suitable equation by loooking that the way the graph behaves at its asymptotes

anonymous · Answer

I'm not sure. It's a preamble to l'hopital's rule, but we are supposed to use it to find the limits.... I'm not sure these graphs are guessable equations.

amistre64 · Answer

itd help to have  apicture to go by ;)

anonymous · Answer

okay give me a second to scan it

amistre64 · Answer

in essense, a rational expression is controlled by 2 polynomials that fight for control

anonymous · Answer

it won't let me post the scanned image. but anyways for the one the one function is approaching infinity faster than the other function is approaching negative infinity

amistre64 · Answer

you save the image as a jpeg?

anonymous · Answer

yes i saved it as a jpeg from the original scan form of a tif

amistre64 · Answer

hmm.....  be right back.

amistre64 · Answer

lhopital allows says we can find the limit of certain undeterminate setups by taking the derivative of the top and the bootom, and finding their limits right?

anonymous · Answer

yes that is true... lim x--> a f(x)/g(x) =f'(x)/g'(x)

amistre64 · Answer

wish i had a pic of that graph  :)

anonymous · Answer

okay i'm trying to do this the difficult way now. i'm downloading the scan to photobucket where it seems to be working

anonymous · Answer

http://i1201.photobucket.com/albums/bb350/jacquefrfly9/Scan0002.jpg

anonymous · Answer

its part 6