explain how l'hopital rule works and give examples of the four ways it can be used ie 0/0, inf/inf, 0/inf and inf/0?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

explain how l'hopital rule works and give examples of the four ways it can be used ie 0/0, inf/inf, 0/inf and inf/0?

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

ok so whenever we have liimit we try to evaluaate it using the limit give itself. and if we get any of those expressions above that you wrote, we use l'hopitals rule. so one example is lim as n->0 for sin(x) /x this would obviously reveal that it would be 0 /0 right? because sin(0) = 0 so we use lhopitals rule where we derive both the bottom and top equations so we will get lim as n -> 0 for cos(x)/1 where cos(x) is derivative of sin(x) and 1 is derivative of x so then lim as n->0 of cos(x) is cos(0) = 1 which is the same answer as lim n->0 sin(x) /x
is this an example for 0/0?
yes this is an example for 0 / 0

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

okidokes so whats an example of inf/inf? please :)
example is lim n -> infinity of ln(x) /x in this case both our functions ln(X) and x go to infinity. right? so if we derive ln(x) we get (1/x) and x will become 1 so now we get lim as n-> infinity of 1/x = 0 because x will just go to infinity
so I should write what l'hopital rule is then give eg above and eg of inf/inf and say it doesn't work for inf/0 or 0/inf and give egs of how it doesn't wrk?
yup.
if it's not too much trouble fancy giving me egs of inf/0 and 0/inf? was thinking n->inf e^x/? for inf/0 and vice versa?
or might just say they don't work? but why don't they work?
Suppose that lim(f(x)) and lim(g(x)) are both zero or both ┬▒infinity. Then if lim(f'(x)/(g'(x))) has a finite limit or the limit is ┬▒infinity, then lim(f(x)/(g(x))) = lim(f'(x)/(g'(x))). so we cannot use it for inf/0 or 0 / inf
cool thanks so much :)

Not the answer you are looking for?

Search for more explanations.

Ask your own question