Hello Everyone. Tom from everystepcalculus.com and everystepphysics.com. Limits to Infinity. Let’s get started. Index 8 to get to my menu. Scroll to limits and choose number 2, compute the limit.And the function, you have to press alpha before you enter anything in here. Alpha left parentheses five plus two times X. This appeared on a test. Divided by,left parentheses, 3 minus X right parentheses.
Then press alpha and we press this yellow button here which goes to the letters with the yellow letters about the keys. The yellow register, I call it. And this is infinity right here. Alpha. There’s Infinity. I always show you what you’ve entered. The limit of two times x plus five over 3 minus X, as X approaches infinity. That’s the way you state it. I will show you what you’ve entered, you can
change it if you want. I say it’s okay. You divide all terms by the highest order term in the denominator. And that becomes a minus X
And you take the limited as that approaches infinity and the numerator limit is minus 2.Denominator, you have three and minus x in the denominator and that’s divided by minus x.Three minus x and you take the limit, you put Infinity in here. Anytime you take a number and divide it by Infinity, you get a very large number. It gets smaller and gets closer to zero. So that equals zero. And the other one equals one. That’s the denominator limit. You divide that numerator by the denominator, of course and you get minus two for the problem. Pretty neat, huh? everystepcalculus.com Go to my site and buy my programs.Thank you