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 Jul25 accepted Having trouble understanding proof of a theorem involving limits of functions and sequences Jul25 comment Having trouble understanding proof of a theorem involving limits of functions and sequences Oh, I get it now. I'm not sure if the argument I'm thinking of is the same one the author is describing, but whatever. Your answer sure helped, though! Jul25 asked Having trouble understanding proof of a theorem involving limits of functions and sequences Jul25 comment Why are $\sin$ and $\cos$ (and perhaps $\tan$) “more important” than their reciprocals? Fun fact: In some languages, in particular Spanish, sine still has the same not safe for work meaning. This has lead to uncountable repressed giggles in high school math class. Jul22 comment Compute integral $\int_{-6}^6 \! \frac{(4e^{2x} + 2)^2}{e^{2x}} \, \mathrm{d} x$ @Matt: Isn't it simpler to just say $\mathrm{d}u = e^x\ \mathrm{d}x = u\ \mathrm{d}x \implies \frac{\mathrm{d}u}{u} = \mathrm{d}x$? Jul21 comment Compute integral $\int_{-6}^6 \! \frac{(4e^{2x} + 2)^2}{e^{2x}} \, \mathrm{d} x$ After doing the change of variables, shouldn't it be $u^2$ instead of $e^{2u}$ in the numerator? Jul21 comment Motivation for definition of logarithm in Feynman's Lectures on Physics I just saw in the feynmanlectures.info site that this has been added to the errata. Awesome! Jul20 comment Find all solutions, other than $2$ for $12x^3-23x^2-3x+2=0$ @Austin: You don't need to ask. You could just plug in those values and check whether they satisfy your equation. Jul19 comment Help solving differential equation: $y' = x\sqrt{4+y^{2}}/{y(9+x^{2})}$ The right side of the equality can be written as $\frac{\sqrt{4+y^2}}{y} \frac{x}{(9+x^2)}$. Does this help? Jul16 accepted Motivation for definition of logarithm in Feynman's Lectures on Physics Jul15 comment Motivation for definition of logarithm in Feynman's Lectures on Physics I get it now, thank you! This paragraph is really weird, considering that the rest of the lectures is very well written and clear. Jul15 comment Motivation for definition of logarithm in Feynman's Lectures on Physics @joriki: That really helps. Thanks! Jul15 asked Motivation for definition of logarithm in Feynman's Lectures on Physics Jul15 comment Is the function $y=\ln x^2$ the same as $y=2\ln |x|$? Short answer: yes. Jul14 revised Problems regarding exponents Not smart to use the same letters as in the assignments Jul14 comment Problems regarding exponents @Rick: Yeah, I think I'll change it. Thanks for the advice! Jul14 answered Problems regarding exponents Jul7 comment I have to show $(1+\frac1n)^n$ is monotonically increasing sequence Unless I'm missing something, that sequence is increasing, not decreasing. Jul1 accepted Does this weird sequence have a limit? Jun30 comment Does this weird sequence have a limit? That's interesting. Does this change if instead of picking a number from ${1,2,3,4,5,6}$ we choose a random real number, or maybe one from the interval $[0,1]$?