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Jul
25
accepted Having trouble understanding proof of a theorem involving limits of functions and sequences
Jul
25
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!
Jul
25
asked Having trouble understanding proof of a theorem involving limits of functions and sequences
Jul
25
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.
Jul
22
comment Compute integral $\int_{-6}^6 \! \frac{(4e^{2x} + 2)^2}{e^{2x}} \, \mathrm{d} x$
@Matt: Isn't it simpler to just say $\mathrm{d}u = e^x\ \mathrm{d}x = u\ \mathrm{d}x \implies \frac{\mathrm{d}u}{u} = \mathrm{d}x$?
Jul
21
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?
Jul
21
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!
Jul
20
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.
Jul
19
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?
Jul
16
accepted Motivation for definition of logarithm in Feynman's Lectures on Physics
Jul
15
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.
Jul
15
comment Motivation for definition of logarithm in Feynman's Lectures on Physics
@joriki: That really helps. Thanks!
Jul
15
asked Motivation for definition of logarithm in Feynman's Lectures on Physics
Jul
15
comment Is the function $y=\ln x^2$ the same as $y=2\ln |x|$?
Short answer: yes.
Jul
14
revised Problems regarding exponents
Not smart to use the same letters as in the assignments
Jul
14
comment Problems regarding exponents
@Rick: Yeah, I think I'll change it. Thanks for the advice!
Jul
14
answered Problems regarding exponents
Jul
7
comment I have to show $(1+\frac1n)^n$ is monotonically increasing sequence
Unless I'm missing something, that sequence is increasing, not decreasing.
Jul
1
accepted Does this weird sequence have a limit?
Jun
30
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 $[0,1]$?