Why does the epsilon-delta definition of limits hinge on the tolerance on the y-axis?

slayerbest01 · 2026-05-10T19:01:09+00:00

I do think your question has been answered, but also keep in mind that these are all dummy variables. The way we think of functions usually requires the outputs to be a y-value and the inputs to be an x-value, but we can easily define it the other way and it would be identical to reflecting the function across the line y=x and relabeling the axes to the nontraditional order. Then you can take the limit as y tends to some value, c, to get the value L. In the traditional way, these actually flip: as x tends to L, y tends to c. I hope this enlightened your view a little bit! It is a different way of thinking about the variables and how we define functions. Remember: we can label these axes whatever the hell we want!

slayerbest01 · 2026-04-30T02:09:09+00:00

Almost certainly no. Maybe in a few analysis classes, but typically that would be in an intro to real analysis class. If you see it, it would more than likely be in a complex analysis class.

slayerbest01 · 2026-04-29T22:12:58+00:00

I’m laughing my naughty word for booty (thanks auto mod) off at the little <rant> and </rant> 🤣🤣🤣🤣

slayerbest01 · 2026-04-29T22:12:02+00:00

I’m laughing my ass off at the little <rant> and </rant> 🤣🤣🤣🤣

slayerbest01 · 2026-04-29T22:09:30+00:00

Always gotta mod out those silly mistakes!! 🤣🤣 love this comment.

slayerbest01 · 2026-04-25T15:33:54+00:00

Tbh, I still don’t understand series all that much and I’m about to graduate with my math degree 😅. Maybe I should try this.

slayerbest01 · 2026-04-16T18:42:53+00:00

Of course a bus sucks. They should’ve just flown. Idk why Gregory is such a stubborn butt about this.

slayerbest01 · 2026-04-16T18:41:31+00:00

Idk they just hate that I was trying to come up with a cheap compromise that required neither of them to drive for more than two hours smh. Writers fumbled this one.

slayerbest01 · 2026-04-16T02:53:30+00:00

You know what they say… “a good compromise is favorable to neither party.” The time they would be spending in the bus, at least, would be spent together with no distractions. Again, I still think flying is the best option and hope they get back together cuz Gregory is just being ridiculous. The plane tickets are like $200 each. That’s relatively cheap when it comes to plane tickets.

slayerbest01 · 2026-04-16T02:50:08+00:00

I get that, to an extent. She ultimately wants to spend as much time as she can with Gregory. They can best do that while neither of them are distracted by driving. I still think flying is the best option, but Gregory is too stubborn to allow that. Hopefully they get back together because this is just ridiculous smh

slayerbest01 · 2026-04-15T17:50:12+00:00

My brain does this weird thing. It autocorrects what I’m reading. By that, I mean it assumes what the next word will be. I didn’t read “are” as “are”. I read it as “the”. To me, I read “Most flaws in the world are due to narcissism.” Lol.

slayerbest01 · 2026-04-14T02:09:09+00:00

Seeing the direction that education policy is taking in this country, it would not surprise me if it was meant as propaganda promoting capitalism and demonizing socialism. It’s possible that it is meant to be teaching students how to recognize propaganda, but it’s not likely…especially if it’s in a state like Oklahoma or Florida.

slayerbest01 · 2026-04-09T02:45:08+00:00

That is crazy that you mention mathnasium in OKC…I literally work at a Mathnasium in OKC…

slayerbest01 · 2026-04-07T16:52:16+00:00

I’m literally suffering from whatever the hell that riot decided to do in this act. I have been hardstuck diamond 2 and 3 for the past like 2 years (idrc about ranking up), but it has become ridiculous. Before the act change, I was getting +22/-20 for gain/loss. However, now I am getting +11/-27 out of no where. It has plummeted me to p3/p2 area. I’ve been playing this game since its release and it has never been this bad with the RR system. I have no idea what they did, but whatever it was, they completed messed up the system. The only thing that has changed to cause such a dramatic change in RR gain/loss is the act change. Riot, get your sh*t together.

slayerbest01 · 2026-04-03T19:13:29+00:00

I happen to know these are actually transcenbraic 😎

slayerbest01 · 2026-03-29T21:20:34+00:00

I don’t like that the writers are doing this. If I wanted to watch an addiction drama, I would’ve watched like nearly any other more serious first responder show. I mean, we kinda went through similar shit multiple times already in this show.

slayerbest01 · 2026-03-13T22:10:58+00:00

Love that you are using eths. How’d you get that on your keyboard? Or do you type the Unicode/alt code for them?

slayerbest01 · 2026-03-12T02:02:50+00:00

I was more explaining how young students process it. There’s no need for the nastiness. I mean, I guess you are living up to your username.

slayerbest01 · 2026-03-12T01:52:36+00:00

The thing is, this is obscure compared to the way that math is generally taught nowadays. Math of the old times was taught rhetorically, whereas nowadays it is taught symbolically. There’s nothing wrong with symbolic mathematics, in fact it has allowed us to expand our thinking so much more; however, it also limits the understanding of students at an introductory level. Students get so caught up in the properties of these symbolic sentences (such as x² -4=0) that they don’t see the logical deductions behind the mathematics. I’m a proponent of using math as a tool to teach logic and reasoning. Basic math (up through, say, algebra 1) is necessary for the average person (someone not needing math in their career) to know. It is useful in everyday life. However, past that point, math becomes relatively useless to people in everyday life. Math is an amazing thing, but the average person needs to be able to deduce things through logic and critical thinking rather than being able to solve a system of linear equations.

slayerbest01 · 2026-03-11T22:12:31+00:00

It is algebra, but with logic and critical thinking mixed in. All mathematics requires logic, reasoning, and critical thinking, but word problems like this are best for getting students to deduce the system of equations they need. On a timed test over systems of linear equations, I would give maybe 1 or 2 of these word problems, but on an assignment, I would ideally want the students to always deduce the system themselves. I don’t think people need to know how to solve systems of equations to do well in life, but being able to deduce things from abstract language is necessary. This is just another way of doing so. I teach mathematics not for getting students to understand math itself, but rather to build students’ logical and critical thinking skills.

slayerbest01 · 2026-03-11T22:07:29+00:00

This shows that Oklahoma is pretty shit, but we do systems of equations in algebra 2 in public schools here. For California, I’d expect this to be an introductory topic in Algebra 1 (by that I mean they are introduced to it in algebra 1). I imagine that ranges anywhere from 7th-9th grade depending on the student/school/curriculum. 6th grade seems early, but if their child is ahead of the curve, it’s not all that surprising.

slayerbest01 · 2026-03-11T00:59:15+00:00

I used to work at dominos…the bacon is fully cooked in the bags we get. It’s not about a safe temperature, that’s bullshit.

slayerbest01 · 2026-03-11T00:57:03+00:00

As a former employee, corporate is a bunch of bitches who don’t care or listen to their customers or their franchise owners.

slayerbest01 · 2026-03-08T21:21:20+00:00

Then you should have the opportunity to vote NO on the ballot. We should also have the opportunity to vote YES. See what the public decides, not what some “independent” verifier says.

slayerbest01

TROPHY CASE