Recent content by Erind

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    Explaining Convergence of (3^n)/(2^n + 4^n) w/o Limit Comp. Test

    Ok, I just came up with comparing (3^n)/(2^n + 4^n) < (3^n)/(2^n + 4^n)(3^n) and then canceling the (3^n) and then 1/(2^n + 4^n) < 1/(2^n) and then it's done, but I'm not sure if that first inequality is a legal move.
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    Explaining Convergence of (3^n)/(2^n + 4^n) w/o Limit Comp. Test

    Homework Statement Use the comparison test to explain why the series (3^n)/(2^n + 4^n) is convergent. He said specifically not to use the limit comparison test on this one. Homework Equations 1/2^n The Attempt at a Solution I know I should be comparing it to 1/2^n because it is a...