L'Hospital's Rule - Indeterminate Differences

L'Hospital's Rule - Indeterminate Differences.
In this video I discuss indeterminate differences and show how to compute them!
For more free math videos, visit http://PatrickJMT.com

Category:

Education

Tags:

• math
• calculus
• l'hospital
• l'hopital
• rule
• indeterminate
• products
• quotients
• powers
• differences
• justmathtutoring.com
• SAT
• AP

[iCHAINSAW]

"Damn this graded homework is due in 20 minutes, how do I do this problem"

Patrick works the exact problem I have in my homework

"Oh, that's how you do it."

[patrickJMT]

@iCHAINSAW ha ; )

[barbaric37]

thank you so much! you always have the perfect videos to help me out when I'm stuck.

[patrickJMT]

@barbaric37 tons of calculus stuff, so come back any time : )

[fmkk2000]

great videos but its l'hopital's rule not hospital's, funny I made the same mistake...

[patrickJMT]

@fmkk2000 i guess the guy who has written the most popular calculus textbook in usa also does not know how to spell it after his 8th edition

[patrickJMT]

@elejalde3 all the tea in china

[VeemanLTTE]

The Prince of Mathematics

[VidalesJorge]

One other thing on minute 5:55 you multiply by x/x, when you do so, you get x-1+xlnx in the denominator, how do you get that? if you multiply (1/x)(x-1) you get, x-1/x, and if you multiply this by x, this does not give you x-1, I am pretty sure there is something im not seeing here, i know that you can multiply first the x and then the x-1, and that way you would get x-1, but how do you go from multiplying 1/x * x-1 = x-1/x * x = x^2 -1/x = x-1/x= -1 to x-1?

[VidalesJorge]

In your first example, when you factor out x, can you just simply put that in the denominator, then use L Hopitals rule to get 1/-1x^ -2, then factor out this to get, -1x^2, and then apply the limit, which would go to infinity as well?

[Diamond52894]

excellent! u helped me sooo much!

[TheRoadofDestruction]

@fmkk2000 Well, if you're writing it as L'Hopital's rule, there has to be an accent for the "o", which I guess you cannot add on YouTube (not sure!). And since Hopital translates to hospital, you can for convenience sake say L'Hospital or The Hospital's Rule

[whatisthedealwithdat]

Thanks, this helped a bit.

[gmanz5]

@patrickJMT got it

[nightlight12340]

@rapzone93

There is no certain grade you learn L'hospital's rule. You have to take Calculus to learn the rule, and not everyone takes calculus in the US.

[HoboJoe2193]

@fmkk2000 Actually L'Hopital is french for "the hospital." Makes that mistake even funnier:p

[TheKaveshan]

Thanks Patrick. All those missed lectures can be made up by your vidz.Really appreciate it.