Freemaths.us

Exercise 83: Calculate the limit .
Solution page 2:

Previous page

Next exercise

 

Hence, we calculate the limit of  .

We convert our sequence to a form in which we can use the formula   , for . We look for such an x for which 

, so  .

Therefore

 

Thus

 

We use the formula  , for . We get

Therefore

 

Using the theorem, we get