Need a little calculus help

[maldecido33 10+ year member]

I'm having trouble taking the limit as t->0 of (1-e^(2t))/(t*e^t)

It's been two semesters since I did alot of limits (Back in calculus 1), and I'm drawing a blank as to how to take this limit. I tried applying l'hopitals, but that doesn't work. Does it simply not exist?

Any input?

The entire problem is:

lim cos(t)/(2*(e^(t-2)))i + (1-e^(2t))/(t*e^t)j

t->0

where i and j are both the vector directions

Thanks alot for any help I can get.

edit: I'll paypal a couple bucks to whoever can help me first

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[maldecido33 10+ year member]

bump :-(

 

[pilyin 10+ year member]

I'm having trouble taking the limit as t->0 of (1-e^(2t))/(t*e^t)
It's been two semesters since I did alot of limits (Back in calculus 1), and I'm drawing a blank as to how to take this limit. I tried applying l'hopitals, but that doesn't work. Does it simply not exist?

Any input?

The entire problem is:

lim cos(t)/(2*(e^(t-2)))i + (1-e^(2t))/(t*e^t)j

t->0

where i and j are both the vector directions

Thanks alot for any help I can get.

edit: I'll paypal a couple bucks to whoever can help me first

Lim t->0 (1-e^(2t))

Lim t->0 (t*e^t)

=-2/1 = -2