Question

need to demmonstrate l'hopital rule using examples of 0/0, infinity/infinity, 0/infinity and infinity/0....help?

Answer 1

that is easy, but l'hopital rule only apply for 0/0 and infinity/infinity

Answer 2

ln(x)/x

Answer 3

for inf/inf

Answer 4

0/infinity always give 0 and infinity/0 always get infinity

Answer 5

l'hopital only aply to o/o infinty/infinity
here o/infinity = o & infinity/o= infinity

Answer 6

xln(x/(x-1)) for 0/0

Answer 7

one example is lim as n--> 0 of sin(x)/x

in this case you would use l'hopitals rule to derivve sin(x) and x

so derivative if sin(x) = cos(x)
and x --> 1.

so now you hvae lim as n approaches 0 of cos(x) which is 1. so your answe rfor limit as n approaches 0 for sin(x)/x = 1

Answer 8

(x^2 - 1)/(x-1) as x --> 1, this is a simple 0/0

Answer 9

what is the answer supposed to be for them though, like is it a set answer or can they be different cause i've seen example that give like 7/13 and i'm just like :S

Answer 10

i have to explain it, so gonna site this website then give examples fr all four showing only 2 work i'm guessing ;/