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Mathematics 23 Online
OpenStudy (anonymous):

closed.

OpenStudy (cwrw238):

i've been studying limits lately and dont find them easy but if you apply l'hopitals rule you get -e^-x / 1 = -1 / e^x and limit of this as x --> infinity is 0

OpenStudy (cwrw238):

yea - thats what wolframalpha gives

OpenStudy (cwrw238):

yes i think so so thats 0 right?

OpenStudy (cwrw238):

so l'hopitals looks like its unnecessary

OpenStudy (cwrw238):

as i say limits are not my strong point ...

OpenStudy (cwrw238):

no it 0 / infinity ??? - i'm not sure to be honest the limit is definitely 0 though

hartnn (hartnn):

yeah, you cannot apply L'Hopitals, and the limit is 0

hartnn (hartnn):

substitute x=1/y

hartnn (hartnn):

lim y-> 0 y.e^(-1/y) now directly put y=0 e^(-1/0) = e^(-infinity) = 0

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