user avatar
user avatar
user avatar
philmcole
  • Member for 5 years
  • Last seen more than a month ago
8 votes
5 answers
4k views

Difference between polynomial and power series

7 votes
4 answers
268 views

Show that $e^{1-n} \leq \frac {n!}{n^n}$

6 votes
1 answer
196 views

For which $a$ is $y^2= x^3 + a$ a submanifold?

5 votes
1 answer
584 views

Show the equivalence of arc length definitions

5 votes
1 answer
158 views

Best strategy to solve absolut value inequality

4 votes
1 answer
1k views

Show every real number is the supremum of a set of rational numbers

4 votes
2 answers
795 views

Prove that nested interval theorem doesn't hold for $\mathbb{Q}$

4 votes
2 answers
3k views

Proof of convergence of newton method for convex function

4 votes
3 answers
121 views

Compute $\lim_{x \to \infty} \frac{e^x}{x^a}$

3 votes
3 answers
3k views

Set of functions from empty set to $\{0,1\}$

3 votes
1 answer
438 views

Why do we need $x_0$ to be a cluster point if we take take the limit $\lim_{x \to x_0} f(x)$?

3 votes
0 answers
522 views

Geometric interpretation of rank-$1$ matrices

3 votes
4 answers
2k views

Double summation identity

2 votes
4 answers
142 views

Show that $f(x) = x^7 + x^5 + x^3 + x$ is bijective

2 votes
1 answer
118 views

Conflicting notation of the term random variable

2 votes
4 answers
1k views

Prove there are exactly $\binom{n}{k}$ subsets of $\{1,\ldots,n\}$ with $k$ elements

2 votes
1 answer
699 views

Dirichlet approximation theorem proof

2 votes
2 answers
552 views

Why is the probability the same when drawing two marbles in different order

2 votes
2 answers
84 views

Proof that $(-x)^{-1} = -(x^{-1})$

2 votes
1 answer
85 views

Evaluating $\sum_{k=nq}^{np-1}$...

2 votes
1 answer
1k views

Matrix with only real eigenvalues is similar to upper triangular matrix

2 votes
1 answer
791 views

Restriction of diagonalizable transformation to invariant subspace is diagonalizable

2 votes
0 answers
2k views

Symmetric linear transformation has symmetric matrix

2 votes
3 answers
859 views

Show that $g \circ f$ is n times differentiable

2 votes
2 answers
77 views

Compute $\lim_{x \to \infty} \frac{\log(x)}{x^a}$

1 vote
1 answer
94 views

Cluster point of set $\{a_n \,|\, n \in \mathbb N\}$ is limit point of sequence $(a_n)_n$

1 vote
3 answers
93 views

Behaviour of $\sum\limits_{n=1}^\infty \frac1{n^2}\left(\sqrt{n^2+n} - \sqrt{n^2+1}\right)^n x^n$ for $|x|=2$

1 vote
3 answers
44 views

Find a power series for a given radius of convergence

1 vote
1 answer
528 views

Smooth function with $f^{(n)}=0$ is polynomial

1 vote
1 answer
78 views

Divergence of power series at the edge [closed]