Hello Everyone, Tom from everystepcalculus.com and everystepphysics.com. A problem regarding limits at Infinity. Index 8 to get to my menu. Scroll down to Limits. You can actually use second to go quicker on the menu, in other words, I want to go up a screen second, and up, second and up,or second and down. And here’s Limits. Click on that. And my other videos that I did previously I didn’t put Limit to Infinity here. You would access it by going to Compute Limit but when you want to put minus Infinity in there. It’s a little bit tricky do that. Well, it’s a little tricky on the Titanium to do that so I decided to put it in a actual menu. So here’s Limit to Infinity. We’re going to put the function in. Press Alpha first. Alpha left parentheses. This is a test problem. 7 times X cubed plus 4 times X minus 17, right parentheses, divided by, left parentheses, 4 times X cubed minus x squared, right parentheses. And let’s go negative infinity. Number two. And there it is there. This is the limit of this with X going to minus infinity. And I always show you if that’s correct. I always give you a change it in my programs. I say it’s okay. Then we’re going to divide all terms by the highest order term in the denominator. Which will be x cubed. Here’s the terms numerator. All divided by x cubed. Here’s the results. Now we put Infinity in for every X. Or minus Infinity, sorry. And that turns out Numerator Limit of 7. These turn out to be 0. Denominator
4 divided by the x cubed. That equals 4. And x squared divided by x cubed equals one over x. We add the minus Infinity to every x.
It turns out to be 40 Denominator Limit. The Problem Limit therefore is seven divided by four or seven fourths. Pretty neat, huh? everystepcalculus.com Go to my site and buy my programs. If you want to pass calculus and/or do your homework. And remember you’ll have these programs for life if you do that.