- #1
broegger
- 257
- 0
Hi,
I'm having trouble determining this limit:
It's a 0/0 type of expression, so it seems like L'Hopital's rule should be applicable, but no matter how many times I differentiate I keep getting 0/0-expressions. Any hints?
Also, the next question is to solve this integral:
I haven't tried solving it, but since I haven't yet been able to answer any question in this whole damn exercise, I think it's a safe bet that I can't do this either. Any hints here?![Big Grin :biggrin: :biggrin:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
I'm having trouble determining this limit:
[tex]\lim_{x\rightarrow0^+}\frac{\sqrt{x}\sin\sqrt{x}}{1-e^{-x}}[/tex]
It's a 0/0 type of expression, so it seems like L'Hopital's rule should be applicable, but no matter how many times I differentiate I keep getting 0/0-expressions. Any hints?
Also, the next question is to solve this integral:
[tex]\int_0^{\pi^2}\sqrt{x}\sin\sqrt{x}dx[/tex]
I haven't tried solving it, but since I haven't yet been able to answer any question in this whole damn exercise, I think it's a safe bet that I can't do this either. Any hints here?