+0

# lim┬(x→0)⁡〖2xtanx/(1-e^x )^2〗?

0
422
3

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

Guest Jun 2, 2015

### Best Answer

#1
+26642
+15

The limit is 2:

.

Alan  Jun 2, 2015
Sort:

### 3+0 Answers

#1
+26642
+15
Best Answer

The limit is 2:

.

Alan  Jun 2, 2015
#2
+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.

Mathcad  Jun 2, 2015
#3
+92256
+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.

Melody  Jun 3, 2015

### 6 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details