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Homework Statement
Lim x→a of f(x) = c (Where c is a constant)
Homework Equations
The Attempt at a Solution
I have no idea. I am able to do these if I can manipulate fx-L to equal x-a but I am having trouble with this one. Please help me!
I have no idea either. What is your question? What are you trying to do?Homework Statement
Lim x→a of f(x) = c (Where c is a constant)
The Attempt at a Solution
I have no idea. I am able to do these if I can manipulate fx-L to equal x-a but I am having trouble with this one. Please help me!
δ can be pretty much anything.I have to prove using the epsilon delta method that as x approaches a the limit of a constant is a constant. It seems so easy to do that I'm having trouble with it.
How about:No, what I wrote can't be right.. Uh
Yes. Don't overthink it.All the comments have been very helpful and I'm very embarrassed because I'm very good at math.. I think I'm really overthinking it.
Not going to happen.Can someone just post the solution so I can follow the steps and really learn this?
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No, you want to show that |f(x) - C| < ##\epsilon##. That really shouldn't be hard to do, given the function you're working with.Guess I should have read that first. It has to be l fx-c l < δ that's what I'm thinking
And notice that, for this particular function, it doesn't matter how big or small ##\delta## is.SInce l fx-L l = 0 and ε > 0 then l fx - L l < ε. Please be right....
You really should get into the habit of writing function notation correctly. It's f(x), not fx.Yeah it finally clicked. If l fx - L l is 0 and δ is any positive number, Given the information, it fx-L must be less than