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anonymous
 5 years ago
lim(xto0)2[(e^x(1+x))/x^2]=
anonymous
 5 years ago
lim(xto0)2[(e^x(1+x))/x^2]=

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{x\to 0} e^x\frac{(1+x)}{x^2}\] ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ooh i know \[lim_{x\to 0} \frac{2e^x(1+x)}{x^2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i bet that is it. l'hopital's rule problem. of the form \[\frac{0}{0}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0take derivative top and bottom separate. you will need to do it twice because after the first time you still get \[\frac{0}{0}\]

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0the top is 2e^010=2(1)10=21=1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0first time \[\frac{2e^x1}{2x}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0still \[\frac{0}{0}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0second time \[\frac{2e^x}{2}\] let x >0 get 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oops i am totally wrong. sorry. first time it is \[\frac{1}{0}\] no limit. so sorry.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes you have lost the derivative of constant 1 first time

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0by first time i mean before you start. it is not \[\frac{0}{0}\] to begin with so no l'hopital. sorry

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0WHERE IS THE DERIVATIVE OF CONSTANT?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Mmmm....looking carefully at the question as posted, we are looking for the limit of 2(e^x  1  x)/x^2. As x goes to zero we get 2(e^0  1  0)/0^2 = 2(1  1)/0 = 0/0, so use l'Hopital twice to get Lim as x goes to 0 of e^x, which is 1.

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0did you try graphing it? both sides of 0 f(x) goes to positive infinity

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0WHY WE TAKE DERIVATIVE ANY REASON????
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