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I'm so tired that I cannot think anymore, lol. Great point though

Easy: do not act on impulse. Think carefully about this. It's the root of procrastination.

Stop being lazy, lol Learn to crawl carefully, then start to walk, then start to run, then keep running until you eventually fly. Never run before you walk, never walk before you crawl. Do not crawl or walk if it is too easy or you will not be able to run. The above advice can be applied to...

Proof looks good.

When does maximum speed occur?

Sorry leehuan, I was careless

I see no reversing nvm lol

What about |x + y| < |x| + |y| Let y = -y, |x - y| < |x| + |-y| = |x| + |y|?

Thanks for reminding the second time. I thought I remembered my double angles... Thanks. Yep, it wouldn't do much harm because we will then use triangle-inequality!

What do you mean?

Let's start here \left|\frac{\sin ^2 \left(\frac{x}{2} \right)}{2x^2} - \frac{1}{2} \right| = \frac{1}{2}\left|\frac{\sin ^2 \left(\frac{x}{2} \right)}{x^2} - 1 \right| Apply triangle-inequality to get \leq \frac{1}{2}\left|\frac{\sin ^2 \left(\frac{x}{2} \right)}{x^2}\right|...

oh crap... I made an error!

With these types of proofs, you choose \delta at the end ^_^ Suppose the general formula: \lim_{x \to a} f(x) = L. Then \forall \epsilon > 0, \exists \delta > 0 $ such that $ 0 < |x-a| < \delta \Rightarrow |f(x) - L| < \epsilon. $You simplify $|f(x) - L| < \epsilon $, because this is what...

\forall \epsilon > 0, \exists \delta > 0 $ such that $ 0 < |x-0| < \delta \Rightarrow \left|\frac{1- \cos x}{x^2} - \frac{1}{2}\right| < \epsilon Choose \delta = \frac{1}{\sqrt{2\epsilon}} , then we have 0 < |x| < \frac{1}{\sqrt{2\epsilon}}. Now \left|\frac{1- \cos x}{x^2} -...

Re: UNSW chit chat thread 2016 Work beings to pile up! Don't worry about when it gets hard, worry about what will lead to hard times and try to prevent it!

Thanks for the post

Find more specific and clear adjectives. Wtf are you talking about? lol

It happened to be that Kurt's teaching methods aligned with Crobat's learning methods. How about the rest of the population at Kurt's? This is a rare ability unless you consider the whole sample size. I'm thinking that you think that something also clicks for every (or most) student who...

Okay, there is no point in allocating resources to this anymore. Thank you.

Not quite, PeasantOfActing.