Recent content by mikethemike

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    Convergence of Series with Variable Exponent and Negative Power

    Hey Dick, I'm having trouble convincing myself that the limit is in fact, zero. I can't seem to prove this, even with the absolute value. Can you point me in the right direction? Thanks Mike
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    Convergence of Series with Variable Exponent and Negative Power

    Homework Statement Decide on the convergance/divergance of the following series: Sum(n=1 to n= infinity) ((n+1)^(n-1))/(-n)^n where ^ is to the power of and / is divided by. 2. The attempt at a solution I've used both the Ratio and Root test which are inconclusive (ie. R=1...
  3. M

    Any insights on the Lymphatic System?

    What do you mean by improvements on the lymphatic system?
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    Determining Path Integral for Function 1/(z-z0)

    Homework Statement Notation: C=complex plane, B=ball, abs= absolute value, iff=If and only if Given z0 in C and r>0, determine the path integral along r=abs(z-z0) of the function 1/(z-zo). 2. The attempt at a solution It seems to me I'm being asked to find the value of a path...
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    Understanding A as a Factor Ring of Q[x] and Proving its Field Properties

    Hey Rasmhop, That's perfect and very helpful. Thank you!
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    Understanding A as a Factor Ring of Q[x] and Proving its Field Properties

    Homework Statement : Hey guys, I'm a new user so my semantics might be difficult to read... Let A={a+b(square root(2)) ; a,b in Q} (i)Describe A as a factor ring of Q[x] ( The polynomial Ring) (ii) Show A is a field The Attempt at a Solution (i) Let x be in C (the...