Epsilon-delta definitoon of continuity for $f : x → x^3$
3 Show, using $\epsilon-\delta$ definitoon of continuity, that $f : x ? x^3$ is
a) continuous at each fixed point $x_0 \in \mathbb{R}$,
b) unifonrmly continuous on $[0,a]$.
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It's hard to read the definition of the function f. Also. the bounty is way too low.
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To decide what a fair bounty should be, think about the time one may need to spend to write a good solution for your question.
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How the function f is defined? The definition is missing.
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Hi Philip, I just changed the definition.
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Bounty is waaay to low. It should be at least $15.
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This problem is much more time consuming than you other problem. I suggest raising the bounty.
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Sorry Philip, really appreciating your help so far, but my budget is quite strict. I do not expect anyone to solve the problem, but I guess it is better to give it a shot sometimes.
Answer
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Just so you know, I spend about 45 minutes to write this solution. Please offer higher bounties in future, otherwise you may not get a response.
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