Recent content by puzzek

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    Prove the inequality - 1\4(ln2)^2 <= sigma(2^n\(2^(2^n)))

    PAllen, Thank you for your response. I double checked it again and it's exactly as it is written on my paper. By the way, this is not that trivial, because in our test you are not allowed to use a calculator hence it's hard to calculate the value of (ln2)^2. One can still use some...
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    Prove the inequality - 1\4(ln2)^2 <= sigma(2^n\(2^(2^n)))

    Homework Statement This is a question taken from an old exam so I am not sure to which subject in calculus it's connected to... Prove the inequality: \frac{1}{4(ln2)^2}\leq\sum\frac{2^n}{2^(2^n)} (sigma is from 1 to +inf, and the Denominator on the right side is (2^(2^n)) Homework...
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    Calculate Limit - Wolfram Alpha

    micromass Thank you! your tip made it a lot easier !
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    Prove that the integral diverge.

    Yes, sorry for the mistake, this is exactly as you mentioned.
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    Prove that the integral diverge.

    Let f:[0,inf) \rightarrow R+ (f is positive...). f is continuous and: http://www3.wolframalpha.com/Calculate/MSP/MSP350919g712a61ice7c02000046b8i2i10g466041?MSPStoreType=image/gif&s=15&w=87&h=35. prove that...
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    Calculate Limit - Wolfram Alpha

    Calculate the limit of : [PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP3119g718e25g367ahi000057f7afh4fdhed60b?MSPStoreType=image/gif&s=9&w=150&h=57 Thanks for the help.