"the limit as t goes to infiniti of [sin(-t)/t]"
Help!
Well, I have the answer, its 0. But I don't know how to get to that answer. I know sin(t)/t=1 but that doesn't help much here.
Hmm...that makes sense that it would equal -1 if sin(-t) always = -sin(t) so the answer my prof gave must be...
disprove the following....? Don't worry, this is just a practice test, and I just need to understand how it works. So I need to prove or disprove:
(1) There is a subsequence S{n(k)} that converges to 2.
(2) There is a montonic supsequence of S{n} that decreases down to 3.
(3) S{n} is itself...
I'm not sure how to interpret infinity^0.
That's what I thought it was but I wasn't sure because infinity has so many weird cases when dealing with limits. Thanks.
...((x-a)/(x+a))^x =e? I can't get this to work out, i'm thinking it needs to be done using logarithms to simplify it and then l'hoptial's to compute the limit, and then solve for a, but this could be wrong. Any Help would be much appreciated. Thanks
Limits please help!!!!!?
evaluate the following limits:
lim x >>> + infinity ( x / sqrt x - 2 )
lim x >>> 2+ ( x/ sqrt x - 2)
please explain ur answers. thanks
Is it Right? Evaluate the limit, if it exists : lim x-->infinity (5^x-3x)/(e^x+5x^2)?
Evaluate the limit, if it exists : lim x-->infinity (5^x-3x)/(e^x+5x^2)
lim x-->infinity (5^x-3x)/(e^x+5x^2) => Infinity/Infinity
Since it is infinity/infinity , we can use L'Hospital's rule.
So:
lim...