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?
the graph tells you the limits right? Lhoptials rule is for working th enumbers without a graph i thiought
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
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.
itd help to have apicture to go by ;)
okay give me a second to scan it
in essense, a rational expression is controlled by 2 polynomials that fight for control
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
you save the image as a jpeg?
yes i saved it as a jpeg from the original scan form of a tif
hmm..... be right back.
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?
yes that is true... lim x--> a f(x)/g(x) =f'(x)/g'(x)
wish i had a pic of that graph :)
okay i'm trying to do this the difficult way now. i'm downloading the scan to photobucket where it seems to be working
its part 6
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