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# Limits watch

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1. I've been stuck on this question on my homework for a while.
I know that for part (a) you need to use lim(f(x))=f(a) as x->a and for part (b) the limit definition of a derivative but I have no idea what to plug into either of the formulae.

For (a), f(x)=e^(-1/x) when x is not 0 and f(x)=p when x=0 so shouldn't the only value of p for which it is continuous be 0?
2. Show first that the limit exists by showing that and use that to deduce p (your value is correct btw, you should just understand where it comes from)

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Updated: October 9, 2017
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