Limits by factoring | Limits and continuity | AP Calculus AB | Khan Academy

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Sal finds the limit of (x_+x-6)/(x-2) at x=2 by factoring and simplifying the expression.
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Опубликовано:

28 сен 2024

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Комментарии : 25

@adjbutler 10 лет назад

When he said the product of the two numbers had to equal -6 and the sum of the two numbers had to equal +3, he made a mistake. The sum had to equal 1 and the product had to equal -6.

@noelsukhai4754 3 года назад

Had me confused there too

@MatthewBendyna 2 года назад

How do you arrive at that conclusion. In factoring, you usually want to account for all values of x, so (x+3)(x-2) doesn't seem to be a good factorization of x^2+x-6. If you try to simplify that through FOIL then you arrive at x^2-2x+3x-6, not the same answer. What formula is used to derive the rule "a number whose sum is 1 and whose product is -3".

@DezIsSoCool 3 месяца назад

thanks this was confusing me

@mstsindia 11 лет назад

He's using SmoothDraw with a Wacom tablet

@totoblox4242 10 месяцев назад

2:01 what happened to that voice change?😂

@shiratori88 11 лет назад

Sorry Bro you were about a 1 minute too late :(

@TehMaxLightning 8 лет назад

Why is it that we can simplify the original expression and sub the limit in? My point is that we get the new expression from the original expression by simplifying it, as such the two expressions should be identical. However, substituting 2 for x gives undefined in the original expression and gives 5 in the new expression. How does that make sense? Shouldn't we get the same result?

@thepicmaster1385 4 года назад

plz tell me you figured this out by now im dying to know lol

@TehMaxLightning 4 года назад

@@thepicmaster1385 hahaha sorry no idea, I never came back to it. I pass the torch on to you.

@thepicmaster1385 4 года назад

@@TehMaxLightning oh god im failing hahahah

@kahalamathvidz 11 лет назад

Hey sal, i wonder, what program your using. Because im trying to make videos too.

@Kvzjx2 8 лет назад

how did you know the y value for x =/ 2 was

@shiratori88 11 лет назад

My First first Comment :)

@lahiru1k 7 месяцев назад

aughhhhhhhhhhhhhhhhhhhhhhhh

@josephstein153 6 лет назад

When graduated high school in 1998 things where taught a lot different for ex. foil(first inner outer last) from algebra 1 can not be found on you site. You talk about factoring going back 2 basic algebra 1, but you don't give a link to it for people like me who forgot a few things over a decade of having no need for it. Can you please give a link on your exercises sheet to the relevant information, if it not to much work. Thanks.