TuringTest
  • TuringTest
quick question: there is no meaning in the concept of approaching infinity from the right, correct? \(x\to\infty^+\)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
TuringTest
  • TuringTest
or \(x\to-\infty^-\) wither, right?
TuringTest
  • TuringTest
either*
mathslover
  • mathslover
When the variable is x, and it takes on only positive values, then it becomes positively infinite. We write \[x\to\infty^+\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
you gotta start really really far out i guess
mathslover
  • mathslover
http://www.themathpage.com/acalc/infinity.htm
TuringTest
  • TuringTest
@mathslover no, I think you are thinking of \(x\to+\infty\)
mathslover
  • mathslover
oh ... yes .
Hero
  • Hero
I'm still trying to figure out this: \[\int\limits \frac{x \dot\ \sin x}{1 + \cos^2x} dx\]
TuringTest
  • TuringTest
I mean, infinity is not a number even how do you approach a non-number from a higher number no number can be higher than a non-number seems like asking if 7>purple
TuringTest
  • TuringTest
@Hero it has been solved, and I will be happy to give you hints should you desire let me note that that integral is unsolvalble (at least by me) as an indefinite integral, you must put the bounds
UnkleRhaukus
  • UnkleRhaukus
\(∞^\pm\) aren't even in the Extended real number line
TuringTest
  • TuringTest
good point^
Hero
  • Hero
I want to solve it without the bounds. I already saw the solution with bounds. Since the function is continuous I will assume an indefinite integral exists.
TuringTest
  • TuringTest
Good luck with that! I don't know how to solve it without making use of the interval 0 to pi that it is supposed to be
Hero
  • Hero
Apparently no one or no thing does. Not even mathematica, geogebra, maple or TI. But not to worry, I know one person who for sure will be able to tell if it is possible. If it is integrable this guy will know. I kinda miss @JamesJ
TuringTest
  • TuringTest
me too :) @zarkon actually taught me how to solve this, but he made use of the bounds heavily
Hero
  • Hero
I contacted TI about this today and they wanted me to provide them with the solution to this so that they could use it to update their algorithm.
TuringTest
  • TuringTest
wow, far out I remember one thinbg was that we proved that\[\int_0^\infty{x\sin x\over1+\cos^2x}dx\]does not have a finite value, though I forget how we proved it. that suggests to me that no closed form of the indefinite integral exists, but I could be wrong
Hero
  • Hero
Hmmm interesting. It may not have a finite value, but that doesn't mean it can't be solved. Last time I checked, if you take the integral of something and get sin(x) as the result....well sin(x) isn't "finite" either, but it still exists as a solution
Hero
  • Hero
There are many indefinite integrals with solutions that are not finite.
TuringTest
  • TuringTest
true... I am stretching my capacities here admittedly
Hero
  • Hero
Well, if by finite you mean a specific value.

Looking for something else?

Not the answer you are looking for? Search for more explanations.