Evaluate

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- Oct 19th 2010, 11:42 PMSambitlimit and integration
Evaluate

- Oct 19th 2010, 11:43 PMmr fantastic
- Oct 20th 2010, 01:25 AMAlso sprach Zarathustra
Hi, I will continue

**mr fantastic**idea...

Why you can apply l'Hospital's rule?

Let we see what happens to the whole expession when :

Next, for every

Applying l'Hospital's rule:

Now by the Fundamental Theorem of Calculus:

The limit is still from the form of , applying l'Hospital's rule again... - Oct 20th 2010, 09:22 AMSambit
...............in this manner, if L'Hospitals rule is applied, at the oreder differentiation, we get:-

putting x=0, we get:-

am i right? - Oct 21st 2010, 03:31 AMmr fantastic
- Oct 21st 2010, 05:45 AMSambit
oh yes... actually my denominator was right, but i differentiated the numerator 4 times instead of 3 times....now i have got it correct...