user avatar
user avatar
user avatar
Nicholas Roberts
  • Member for 7 years, 2 months
  • Last seen this week
  • NY, United States
7 votes
4 answers
202 views

Is my method for computing $\lim_{x \to 0^+} \left( \dfrac{\sin x}{x} \right)^{1/x^2} = e^{-1/6}$ valid?

4 votes
3 answers
829 views

Show that $\text{Res}_{z = \infty}\left(f(z)\log\left(\frac{z-a}{z-b}\right)\right) = - \int_{a}^{b}f(z)\,dz$

4 votes
0 answers
613 views

Munkres Exercise 70.1

4 votes
0 answers
123 views

On the proof that a distribution with $\{0\}$ as support can be written as a sum of point masses

3 votes
1 answer
832 views

Fundamental group of circle union a line

2 votes
1 answer
87 views

Does ${\frac{f(n)}{g(n)}} \rightarrow l$ imply ${\frac{f(n)}{g(n+1)}} \rightarrow l$?

2 votes
1 answer
460 views

Show that $\mathbb{C} \otimes_\mathbb{R} \mathbb{C}$ is not an integral domain

2 votes
2 answers
2k views

Annual Inflation Rate Problem

2 votes
0 answers
215 views

Prove that a subset of $\mathbb{R}$ with positive outer measure contains almost a whole interval

2 votes
3 answers
526 views

Losing Solutions to a Rational Equation

1 vote
2 answers
43 views

Show uniqueness of constants such that this limit is zero

1 vote
1 answer
231 views

Showing a linear map is continuous

1 vote
0 answers
76 views

$f \in L^+$ with $\int f = k < \infty$ then $\{x : f(x) = \infty\}$ has measure zero proof verification

1 vote
2 answers
86 views

Why does this sequence exist?

1 vote
1 answer
467 views

Let $f$ be uniformly continuous and (Lebesgue) integrable on $\mathbb{R}$. Show that $\lim_{x \to \infty} f = 0$ proof verification

1 vote
2 answers
402 views

Diff. Eq. solution by inspection

1 vote
0 answers
247 views

Prove that $ze^{\lambda - z} - 1$ has a real root in the unit disk

1 vote
1 answer
72 views

Expand $\frac{1}{z^2}$ as a series on $|z - 2| < 2$

1 vote
2 answers
439 views

Show $\cosh(z) - \cos(z) = z^2\prod_{n = 1}^{\infty}\left(1 + \frac{z^4}{4\pi^4n^4} \right)$

1 vote
2 answers
1k views

Combinations of $8$ digit binary strings

1 vote
1 answer
701 views

Showing commutative semisimple ring with unity is direct sum of fields

1 vote
1 answer
141 views

Showing a subset of tempered distributions equals the space of complex Radon measures

0 votes
1 answer
472 views

Show that $\cos(2\pi nx) \nrightarrow 0$ almost everywhere on $[0, 1]$

0 votes
2 answers
151 views

Radius of convergence of $\sum_{n=1}^{\infty}\frac{(-1)^n}{n}z^{n(n+1)}$

0 votes
1 answer
127 views

Projecting a parametric curve to a plane

0 votes
0 answers
630 views

Global Extrema of Cosine

0 votes
1 answer
43 views

Volume bounded between to multivariable functions

0 votes
1 answer
26 views

simplification question on Diff. Eq. Solution

0 votes
2 answers
92 views

Sequence of holomorphic functions converging on compact sets with $f_n(D) \subset U$ implies $f(D) \subset U$ or $f(z) = c$ for $c \in \partial U$

-1 votes
1 answer
6k views

dimension of span of vectors