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epsilon-delta definition of a limit

xoxomarina: ({ stock } » math)
[personal profile] xoxomarina
Sunday, October 15th, 2017 04:07 pm
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For any and all real epsilon greater than zero, there exists a real delta greater than zero, such that for any real x within the open interval (a minus delta, a plus delta), the function f(x) will always exist within an epsilon-interval of the limit L, i.e. (L minus epsilon, L plus epsilon).

More simply put,
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where x-naught is a.
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well then

xoxomarina: ({ stock } » fuck math)
[personal profile] xoxomarina
Saturday, May 23rd, 2015 11:13 am
Long time no see!

For those of you still here, thanks for sticking around. :)

Below is the answer to where we left off last time: 6/2(1+2) = ?

The answer is 9.

ImageImage

It would be different if I asked you to simplify 6/[2(1+2)], in which case the answer is 1.

Let's try a harder one with algebra (though still linear). Solve for X: 2X - 8(X + 1/2) = 0

Feel free to reply in the comments.

Also if you have a question about a particular math problem you're working on in school right now, feel free to make a post or a comment and I'll try to help you with it.
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hello

xoxomarina: ({ name } » pink hearts)
[personal profile] xoxomarina
Thursday, February 13th, 2014 12:50 pm
Long time no see! I'm sure with the new college semester well underway, people will have questions to math problems that they need help with. So don't be shy. Feel free to ask, and I'll offer any assistance I can. :)

I found this cool picture of magnets I thought I'd share:
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...as well as a neat little arithmetic exercise for all of you (which I'm sure most of you have seen this floating around the internets before):

6/2(1+2) = ?

It can be tricky, I'll give you that. The answer will be in my next post. Feel free to reply with your answer in the comments.

(lol, this is just to start you off. I'll try to come up with a decent list of exercises and practice problems of varying difficulty in the near future.)
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greetings

xoxomarina: Alecia Beth Moore from P!nk ({ music } » pink)
[personal profile] xoxomarina
Monday, January 13th, 2014 07:34 pm
Hello to all the newcomers! I hope you enjoy your stay here. :) I may post a little mathematical exercise once a week for anyone who wants practice (as well as the answer in the comments section), as a way to get people to participate and get the ball rolling.

I've also updated the interests section of the community profile and added a few things. Feel free to leave suggestions!

And now, I leave you with a math joke:

e^x and pi walk into a bar and are surprised to see a differential operator. Suddenly pi exclaims, "We have to leave! I'm only a constant, and if he differentiates me, he's going to cancel me out!"

e^x calmly explains, "Don't worry, let me handle this."

Not intimidated, e^x walks up to the differential operator and tells him, "Hey, you bully! My friend here may be scared of you but I'm not! You can differentiate me all day and I'll still be e to the x!"

The differential operator grins and answers, "Hi, I'm d/dy."


...XD
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1st entry

xoxomarina: ({ stock } » math)
[personal profile] xoxomarina
Monday, January 13th, 2014 04:25 pm
Hi there! This community was designed for those who need help because they're stuck on a math problem they simply can't figure out, or maybe they just need someone to explain a mathematical concept to them. I am by no means an expert in mathematics because I, too, am still an undergrad student (and I make mistakes too!). But I will try my best to help you out however I can.

A bit about me.. I am a transfer undergrad (jun/sen/more?) mathematics major / economics minor student who has completed and has knowledge in the following mathematical topics: basic arithmetic, algebra, pre-calculus, calculus I, calculus II, multivariable calculus, linear algebra, elementary differential equations. Basically anything that's up to but not including a 300-level college course, as I am just now starting 300 and 400 level courses this spring semester.

By the way, anyone is welcome to help others out as well, and participation by all members is encouraged! ^^

Some great resources:
Khan Academy
Wolfram Alpha
Wikipedia

Stay tuned! #under construction
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