Limits at infinity of quotients (Part 2) | Limits and continuity | AP Calculus AB | Khan Academy

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Sal analyzes the limits at infinity of three different rational functions. He finds there are three general cases of how the limits behave. Created by Sal Khan.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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A little bit useful? Are you kidding me? This is gold!

rolandocruz

I RARELY SAY THIS BUT I COMPLETELY UNDERSTOOD THIS ONE. JESUS MOTHER OF GOD HAIL MARY.

Jaloloype

Beautiful. Your explanations make apparently difficult concepts easier to grasp. Thanks Sal :D

ishotthemoon

Thank you i have a calculus midterm this week, bless your soul ;w;

EmosewaChan

I just mastered Limits. They are as easy as x approaching infinity - infinity.

MrLadyluver

Thank you soooo much you made it so easy!!!! 👍 your a life saver

lkarim

Dear Mr SAL

THANX 4 DIS GREAT VIDEO

shihasabdulsathar

well as x nears towards negative infinity, it is on the "negative" side of 0, but there really we don't call 0 "negative" or "positive" 0, so the answer is just 0 :D

hyun_ie_KR

What happens if the numerator is higher than the denominator but it is the negative would than make it negative?

adisonchua

but the last one is a slamp asymptote right??

frederikengelmann

can someone explain why the LIMIT OF 3 AS "X" APPROACHES INFINITY IS 3?
(end of problem #1)

robertelsas

hey wait if anyone can pause after the second problem
2:43
and tell me why it isnt infinity while the bottom is going to have an x in it the infinity in this problem is negative so shouldn't 1 be incredible bigger.. or am i just super wrong here?
i cant work out the logic (my own logic)

Altinore

I'm confused by the last one. Wouldn't the limit not exist since 4/250 times(infinity) does not equal 4/250 times(-infinity)?

alexandertrimino

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