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Does lim┬(x→0)⁡〖2xtanx/(1-e^x )^2〗and if it does, answer it.

 Jun 2, 2015

Best Answer 

 #1
avatar+27566 
+15

The limit is 2:

 

 limit

.

 Jun 2, 2015
 #1
avatar+27566 
+15
Best Answer

The limit is 2:

 

 limit

.

Alan Jun 2, 2015
 #2
avatar+122 
+5

The limit is 2,but not as demonstrated above.Since both the numerator and denominator  tend to zero as x tends to zero,we need to use L'Hopital's theorem.

we have          f(x)/g(x)                            =f'(x)/g'(x)

                       lim(x) tends to zero            lim(x) tends to zero,        and we can repeat until

we get rid of any zero's on the denominator.

 

Applying the theorem twice gets you there.                    

 Jun 2, 2015
 #3
avatar+99377 
+5

Thanks Mathcad

There is often more than one way to answer a question.

We like to see how you would do it but do not be quick to criticize other peoples answers.

Even when your method is correct, it does NOT mean that someone elses method is wrong.   

 Jun 3, 2015

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