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| bio | website | |
|---|---|---|
| location | ||
| age | ||
| visits | member for | 2 years |
| seen | Nov 28 '12 at 17:32 | |
| stats | profile views | 21 |
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May 24 |
awarded | Yearling |
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Aug 16 |
answered | Infinite series expansion of $\sin (x)$ |
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Jun 22 |
awarded | Enthusiast |
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Jun 6 |
comment |
Inscribed kissing circles in an isosceles trapezoid The height of the inner trapezoid isn't the diameter of the circles, but it's still easy to figure out. |
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Jun 6 |
awarded | Teacher |
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Jun 6 |
answered | Inscribed kissing circles in an isosceles trapezoid |
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May 31 |
comment |
Power series of $\ln(x+\sqrt{1+x^2})$ without Taylor thanks again. This clears things up to the point where I understand the solution, but I'm still uneasy with it. Squaring a power series isn't something that's been discussed in the book yet. It (multiplying power series, that is) is in an optional section about two sections further from where this problem was found. Can you conceive of any other way to solve this problem? |
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May 31 |
awarded | Supporter |
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May 31 |
comment |
Power series of $\ln(x+\sqrt{1+x^2})$ without Taylor @TonkyK, Thank you very much for your answer. Thank you as well, @miracle173. I found the expansion you suggested that I use in my book. It's derived as a result of Taylor's formula in a section that I haven't gotten to yet. Is there some other way to derive the binomial series or is there some way to solve this problem without it? Thanks again. |
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May 31 |
asked | Power series of $\ln(x+\sqrt{1+x^2})$ without Taylor |
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May 25 |
awarded | Nice Question |
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May 24 |
answered | What is the area of the portion of 1/8 of an sphere cut off by two parallel planes? |
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May 24 |
awarded | Editor |
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May 24 |
revised |
The sum of $(-1)^n \frac{\ln n}{n}$ I added the answer |
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May 24 |
awarded | Student |
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May 24 |
asked | The sum of $(-1)^n \frac{\ln n}{n}$ |
