Recent content by caelestis

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    Solving a Long Limit Problem: Finding the Limit of e^x/x^n

    umm... i haven't learned power series... Is there another approach i could take?? i tried l'hospitals rule but my answer didn't help much in this...
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    Solving a Long Limit Problem: Finding the Limit of e^x/x^n

    Hello, I've been given a long limit problem to solve and i got stuck on this part in the question. Could someone please give me hints or suggestions on where to go next? Given that \frac{e^{x}}{x^{n}} > e^{x - n\sqrt{x}} Find the lim_{x\rightarrow+\infty} \frac{e^{x}}{x^{n}}...
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    Understanding the Conceptual Gap in Charles Darwin's Theory of Evolution

    Oh I actually understand it now after missing a little important fact... But thankyou for telling me about posting links Moonbear, I'll remember it for next time :)
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    Understanding the Conceptual Gap in Charles Darwin's Theory of Evolution

    Ah yes! I didn't think of that approach! Thankyou so much! :)
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    Understanding the Conceptual Gap in Charles Darwin's Theory of Evolution

    Hello, I'm having a lot of trouble with this statement and was wondering if someone could help clarify or give me a brief explanation of Darwin's conceptual gap?? It reads "Charles Darwin presented ideas on the causes of organismic change through time. A primary conceptual gap existed...
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    How Do You Calculate a Degree 3 Taylor Polynomial for e^x?

    ummm, I don't really understand... I've tried looking in my textbook but it doesn't help much...
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    How Do You Calculate a Degree 3 Taylor Polynomial for e^x?

    Ah yes! We use Lagrange's form for the error. But doesn't that just give me an expression for the error? And not a value for the error which the question asked?
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    How Do You Calculate a Degree 3 Taylor Polynomial for e^x?

    Oh ok, I didn't realize that... So from there do you know how i can find the error??
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    How Do You Calculate a Degree 3 Taylor Polynomial for e^x?

    I think the Taylor polynomial of degree 3 is the last line I have above... after substituting n = 3 in the Taylor formulae (next equation up). But I'm not sure if I'm doing it the right way?? Any help please??
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    How Do You Calculate a Degree 3 Taylor Polynomial for e^x?

    Hello, I'm having trouble with this question and was wondering if someone could give me hints or suggestions on how to solve it. Any help would be greatly appreciated thankyou! :) Find the Taylor polynomial of degree 3 of f (x) = e^x about x = 0 and hence find an approximate value for...
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    How Does Error in Radius Affect Resistance Calculations?

    Hello, I'm having trouble with this maths question and was wondering if someone could help me?? The question asks: The electrical resistance R of a wire is given by k / r^2 where k = constant, r = radius of wire. Use differentials to estimate the percentage error in the...