I'm really stuck when it comes to proving things with delta-N or delta-Epsilon arguments.(adsbygoogle = window.adsbygoogle || []).push({});

I think my biggest problem is that I don't really see how they work or 'how' they prove the 'limit' or what have you.

Would anyone be able to show me how to do some of the following questions and somewhat explain what is going on..

Use delta-N arguments to prove that:

[tex]\mathop {\lim }\limits_{n \to \infty } (n + 4)^2 =0[/tex]

Use delta-epsilon arguements to prove that as x -> 3

[tex]5x \to 15[/tex]

Guess the limit and Use delta-epsilon arguments to prove your guess correct.

[tex]

\mathop {\lim }\limits_{x \to 4} \frac{1}{{1 + x^2 }}

[/tex]

Many thanks in advance. My notes don't make it clear how I'm supposed to do this :(

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# Help with delta arguments...

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