What is a Limit? Basic Idea of Limits

Who ever came up with the notation on limits should be shot

@blognewb u would like it wouldnt u?? fag

@cubencis aw I like how you use homo in the same thread where you hail patrick as your “man”. Butthurt much?

@blognewb you know nothing. i can tell y no one wants to help u. homo

thanks from france

your a douchebag

@cubencis that’s what i said, qualify arbitrary whether it pertains to a float or an integer. anyway, go ahead and continue sucking patrick’s dick. he’s your man all right we get it kissass. suck it

@blognewb ey dont argue w patrick, hes the man. ARBITRARILY CLOSE as in, if x->5 take 4.9999 and 5.0001 and see what number they near. that term is used ALL the time when discussing limits

Why didn’t he mention L’hopitals principle?? That’s makes 0/0 limits incredibly easy to deal with.

Srbi uce matematiku od 1+1 do trostrukog integrala , a vi kura milivoja radite .

You are the freakin bestest <3.

@horseyjill28 In case he doesn’t answer, I’ll try to help. You have an equation, giving y in terms of x. y is a function of x so it’s also called f(x) (f of x). You put values for x into the equation that keep getting closer to some number, like 5. You see if the values you get for y also keep getting closer to some number — if the equation is y=x-4, they keep getting closer to 1. If the y values DO get closer to a number, then that’s the limit — in this case, the limit as x approaches 5 is 1.

I’m merely an interested amateur, but isn’t it misleading to “apologize” for the equals sign in the limit equation? Isn’t the whole point of a limit that the limit really is EQUAL to the value? It’s kind of like 4.99999(repeat) really EQUALING 5 — not being arbitrarily close to 5, but actually BEING 5. I know it sounds wrong that x merely “approaches” a but the limit of f(x) actually equals the limit, but it does, right? In math, being arbitrarily close to a value is the same as equaling it?

whaaattttt….. i suck at math. “if we put in numbers close to five” put them where? what does the limit mean, like, what are we limiting? more detail and explanation would be great.

Hey… could you please help me. My professor is being a pain in the ass and says we can’t use the “plug in chug” method. He says we have to justify it by using algebraic properties. I get the right answers and show my work, but still get marked wrong. Its awful! ps: love your videos. You are 1million x better than my professor at a supposedly “prestigious” university.

thank you for helping me understand

Patrick I wish you were doing videos for physics too

This guy is incredible. Hes got a super extending brain, that extends from negative infinity, to positive infinity, and has a derivitive of the 3rd radian and 5th bisector of the 0.5 transformed semi-factorial and can handle dual inequalities and his right eye looks like the factor biotheorom! aka your awesome

@blognewb and arbitrarily close is not generic and vague. it means: i can take a number an arbitrarily small distance away

@blognewb you should look up the technical definition of a limit using epsilons and deltas. that is what you are wanting to see.

@patrickJMT come on that’s generic and vague. Close = non integer values? floating points only?

@blognewb arbitrarily close

wait… on the first part, how do you determine which numbers are “CLOSE TO 5″? How do you define that? so I can’t say 6 or 4?

just marry me.

You really know how to simplify and clearify things, such great talent. Wish all my teachers had your abilities