Recent content by furi0n

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    Cauchy sequence and topological problems

    @spamiam for #9, it seems more complicated for me, and i think i can ask my classmates what is the relation between convergence and this question, for #10, i know that theorem, but it does not monotone if i do correctly.. thank you for your help @HallsofIvy, for #9,we wrote this property...
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    Cauchy sequence and topological problems

    [PLAIN]http://img805.imageshack.us/img805/1575/photo0138d.jpg Hi, on thursday, i have exam of advance calculus and i could not solve two problem in study sheet given by İnstructor. By 9 question, i prove by add an subtract XnY to |XnYn-XY| and i have found that |Xn(Yn-Y)+...
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    Understanding Current Flow in Two Loops

    ah, okey , then i apply Kircoff Voltage Rule on the each loops and find V1 , v2 and the last one which is already 15 and add them up in terms of their sign, and the result thanks for help gneill
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    Understanding Current Flow in Two Loops

    Homework Statement [PLAIN]http://img805.imageshack.us/img805/4889/adszsj.png in two loops at the top, when different currents float in different loops, can they change their current or , while one of them is increasing, is other one decreasing..? i could not decide if the question is so easy...
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    Determine all the accumulation point.

    I've faced with some problem in Math. Analysis books of Tom Apostol, For example, (-1)n+ 1/m, n,m=1,2,3,4,5... i think there is no accumulation point but how should i prove this? thanks for your helps...
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    Prove by using definition of limit

    of course i have studied but i have problem unfortunatly about details. some special problem is more hard than other i could solve.i looked different books i understood but i can't solve some problem still. :d i found the solution. i attached solution if you look solutıon ou can see "given...
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    Prove by using definition of limit

    yes i see but how do you found epsilon 1/4 yu said me you can't choose but now you said epsilon=1/4 i understand rest of them.. do you know any link which i can learn exactly how to prove such problem..
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    Prove by using definition of limit

    sorry about this meaningless sentence now i don't remember what i try to said. :D "consider what happens, in |f(x)- a|, if x is rational and what happens if x is irrational" if x is rational then fx will be 1 then |1-a|<epsilon if i choose epsilon= |1-a|/2 then |1-a|>epsilon this is false. if...
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    Prove by using definition of limit

    if i take \epsilon= |a| then a- |a|< f(x) what i understand is that we try to make 0 left side of inequality if we do, we should tkae epsilon a but then epsilon may be negative or we should suppose limF(x)=|a| is this correct?
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    Prove by using definition of limit

    lim f(x)x->0= does not exist fx={1 if x is rational, 0 if x is not rational} by using definition of limit My teacher had asked us to this question,but next lesson She does not explain how to solve this, maybe she will ask us to it in exam. but i know why it does not exist but i...
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    Limit of H(x) for between graphs

    Okey , now i understood then x=1,-1 and 0 limh(x)= 1,-1,0 we learned this theorem today. now i understand this perfectly thanks a lot
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    Limit of H(x) for between graphs

    The graphs meet (1,1) and (-1,-1), no there isn't because i don't know anything about h(x). Then İ can't find any limit of numbers, actually ı don't understand what we did. i haven't understand Question yet
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    Limit of H(x) for between graphs

    excuse me ? does this mean points between [-1,1] interval?
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    Limit of H(x) for between graphs

    Homework Statement if the graph pf y=h(x) always lies between the graphs of y=x^3 and Y=x^1/3 for what real numbers a can you determine the value of limH(x)x->a? explain and find the limit for each of these values of a Homework Equations The Attempt at a Solutioni can draw two...
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