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Oct
22
awarded  Explainer
Oct
22
answered Finding a number with certain properties
Oct
22
revised Finding a number with certain properties
Correted spelling + condensed
Oct
22
suggested approved edit on Finding a number with certain properties
Oct
22
revised Calculating dimension of a vector space
Fixed confusion between vector spaces and matricies.
Oct
22
suggested approved edit on Calculating dimension of a vector space
Oct
22
comment How to prove that a divergent limit of a function multiplied by a convergent limit of a function is divergent
Remember that $\infty$ is not a number, so you can not attempt to set $L=\infty$ in the definition of a limit. Rather, you must show that there is no limit for the function by proving the negative of the definition.
Oct
22
comment Epsilon-n proof confusion
@StatGod I fail to see how this is a "better" $k$. It's merely a trick to make your work easier in finding a $k$ that fits the inequality. Correct me if I'm somehow wrong here, but the poster explicitly and algebraically solved for the minimum $k$ and therefore, in my eyes, an ideal one to use.
Oct
21
revised Find $\frac{dy}{dx}$ equal to zero in terms of x and y
Remove unneccesary character, fix typesetting
Oct
21
suggested approved edit on Find $\frac{dy}{dx}$ equal to zero in terms of x and y
Oct
21
revised How can I show that $\left(\frac{2}{3}\right)^n$ goes to 0 exponentially fast as n goes to infinity?
typesetting
Oct
21
suggested approved edit on How can I show that $\left(\frac{2}{3}\right)^n$ goes to 0 exponentially fast as n goes to infinity?
Oct
21
comment How large need n to be to ensure that Taylor polynomial around x=0 gives a value of sin(pi) which has an error of less than 0.001?
Your method is correct for finding the minimum value of $n$, however note that you want to have the term less than $\frac{1}{1000}$, so you should have an inequality. These inequalities can not always be solved algebraically, as in this example, so trial-and-error is an appropriate method to use.
Oct
21
revised How large need n to be to ensure that Taylor polynomial around x=0 gives a value of sin(pi) which has an error of less than 0.001?
Typesetting + spelling
Oct
21
suggested approved edit on How large need n to be to ensure that Taylor polynomial around x=0 gives a value of sin(pi) which has an error of less than 0.001?
Oct
21
comment Finding equation from log log graph
That's exactly what you can do. Bear in mind that the equation of a line in the log-log plane is not $y=m\cdot x + b$, but rather $\log y = m \cdot \log x + b$. Work from that and you can solve for $y$ as a function of $x$
Sep
8
awarded  Yearling
Dec
20
awarded  Constituent
Dec
8
comment How can we find another path
I don't know what the actual question is asking you to do. But, it is sufficient to determine the partial derivatives of this function. You will see that they do not exist at (0,0), therefore the function can not be differentiable at that point.
Dec
8
comment How can we find another path
What have you done so far?