3,347 reputation
21034
bio website
location Buenos Aires, Argentina
age 21
visits member for 4 years, 2 months
seen 2 hours ago

(my about me is currently blank)


Aug
21
comment Graph $f(x)=\ln x+2$
@AustinBroussard: I don't understand what you said about a horizontal asymptote having to do with $y \to \pm \infty$. A function has a horizontal asymptote, more or less, if it has a limit (not infinity) when $x$ goes to $\pm \infty$, and the logarithm doesn't have one. It simply goes to infinity.
Aug
21
comment Graph $f(x)=\ln x+2$
@AustinBroussard: This is a minor terminology thing. Rather than undefined, I would say that there is no y-intercept. The functions $\ln x$ and $\ln x + 2$ are undefined at $x=0$, so there is no y-intercept.
Aug
21
answered Graph $f(x)=\ln x+2$
Aug
21
comment Graph $f(x)=\ln x+2$
Don't you mean $\ln x + 2$, or maybe $\ln(2+x)$?
Aug
13
comment Why can't $\int_0^1\sin(x^2) dx$ be equal to $2$?
Forgive me if I'm missing something, but why would it be 2? I mean, with so many numbers to choose from, why would you expect it to be 2?
Aug
10
accepted Basic group theory exercise
Aug
10
asked Basic group theory exercise
Aug
6
comment Projectile Motion
@ladaghini: Nothing, my mistake.
Aug
6
revised Projectile Motion
missed a delta x
Aug
6
answered Projectile Motion
Aug
6
comment Projectile Motion
@GorillaOne: Yes, sorry, I messed that up. I'll write an answer if I figure it out.
Aug
6
comment Projectile Motion
@GorillaOne: If you know those, you can find out the time from $x=x_0+v_x t$
Aug
1
comment Derivative of $x^x$ at $x=1$ from first principles
@user758556: I guess to use L'Hôpital's you would have to know $\frac{\mathrm{d}}{\mathrm{d}h} (x+h)^h$, which sorts of defeats the purpose of using the limit definition in the first place.
Jul
29
answered Finding $a$ from $\lim\limits_{x\rightarrow0}(1+a\sin x)^{\csc x} =4$
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?