Recent content by raaznar

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    2nd Order In-Homogeneous Particular Solution?

    Did it :)
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    Describing anEquilibrium Solution which is neither Stable or unstable?

    Homework Statement Discuss the stability of the equilibrium solutionsHomework Equations dy/dx = cos^2(y) between 0<=y<=2pi y(0)=0 y(0)=pi/2 y(0)=piThe Attempt at a Solution Found the equilibrium solutions to be pi/2 and 3pi/2. Rough graphed y(x) which was a y vs x graph with horizontal lines...
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    [Calculus] Sequence Limits: n -> infinity (n/n^n)(Use Sandwich Rule?)

    Homework Statement Use sandwich Rule to find the limit lim n> infinity (a_n) of the sequences, for which the nth term, a_n, is given. Homework Equations [SIZE="5"] ^{lim}_{n\rightarrow∞}\frac{n!}{n^{n}} The Attempt at a Solution I know by just looking at it, n^n Approaches infinity...
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    Calculus 2: Sequence Limits Question to the power n?

    Negative 1. Got it! I've never done the 'Dominate Term' Approach. Should this be the first approach to consider when doing limits of sequences? What's the first things I should consider when I approach questions like this in the future? (Whats the checklist to look out for) Thanks man...
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    Calculus 2: Sequence Limits Question to the power n?

    0? I got 0 to start of with but the answer is -1. If that's what you are implying. I have no idea how to mathematically arrive at the answer -1.
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    Calculus 2: Sequence Limits Question to the power n?

    Calculus 2: Sequence Limits Question to the power n?? Homework Statement Find the limits (if it exists) to decide which sequences, whose nth term is given below. Homework Equations [SIZE="5"](\frac{3^{n}-4^{n}}{3n^{2}+4^{n}+7}) The Attempt at a Solution I've done a few of these but as Soon...
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