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JEM
  • Member for 11 years, 6 months
  • Last seen more than a month ago
  • West Virginia, United States
15 votes
2 answers
705 views

How to show the divergence of $\sum\limits_{n=1}^\infty\frac{\sin(\sqrt{n})}{\sqrt{n}}$

6 votes
1 answer
615 views

Improper integral: $\int_1^\infty\frac{\sin(\sqrt{x})}{\sqrt{x}}dx $.

5 votes
1 answer
1k views

Order of integration - Region bounded by trigonometric functions

5 votes
2 answers
3k views

Subsets of $[0,1]$

4 votes
1 answer
150 views

Number sequences in nature.

4 votes
3 answers
202 views

Limit of the integral of $\frac{x^n+1}{x^n+2}$

4 votes
1 answer
627 views

Real analysis with a non-standard topology

4 votes
1 answer
86 views

$\int\frac{dx}{1+x}, x\geq0$ by trigonometric substitution

3 votes
0 answers
225 views

Finite Trigonometric Sum

3 votes
2 answers
221 views

Linear Hamiltonian systems and complex quartets

2 votes
4 answers
131 views

A question about the proof of the limit of a function at a point.

1 vote
2 answers
448 views

Function Composition and Jump Discontinuities

1 vote
0 answers
288 views

Riemann Integrability and the Fundamental Theorem of Calculus

1 vote
1 answer
238 views

Suppose $f(x)\in L_1$ - Prove that $\lim_{n\rightarrow\infty}\int_0^\infty f(x)\cos(nx)dx = 0$

1 vote
2 answers
2k views

Gaussian Elimination and diagonalization

1 vote
2 answers
84 views

Inverse Trigonometric functions - Boyce & Diprima 2.2.19

1 vote
0 answers
935 views

Principle Lines of curvature

0 votes
0 answers
114 views

When is the limit of an infinite product equal to the infinite product of the limit?

0 votes
1 answer
68 views

How many ways to solve it?

0 votes
0 answers
162 views

finite subset topology

0 votes
4 answers
102 views

A Basic Truth of Set Theory?