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E.Nole
  • Member for 5 years, 7 months
  • Last seen more than a week ago
5 votes
1 answer
330 views

Showing convergence of $\sum_{n=1}^{\infty} {(-1)^{n} \frac{\sin^{2} n}{n}}$

5 votes
3 answers
244 views

How to find $\lim_{n \to \infty}\int_{0}^{1}\sin^2\left(\frac{1}{ny^2}\right)\,\mathrm{d}y$ if it exists?

4 votes
5 answers
266 views

How can I prove that $\frac{e^x+e^y}{2}>e^\frac{x+y}{2}$, where $x \neq y$?

3 votes
1 answer
2k views

How to find the equation of a hyperbola given the asymptote, equation of axis and a point

3 votes
1 answer
2k views

For sufficiently large $n$, Which number is bigger, $2^n$ or $n^{1000}$? [duplicate]

3 votes
1 answer
86 views

Reference/Info Request on this Alternate Method of Calculating Eigenvectors

3 votes
1 answer
416 views

What is the "decrement" of a permuation? (Or what is the alternative word or phrase used for this definition)

3 votes
1 answer
51 views

How to construct the matrix of a 2-D system of differential equations

2 votes
1 answer
83 views

For improper multiple integrals, can divergence be concluded if one of the inner integrals diverges?

2 votes
2 answers
445 views

What is a suitable Lyapunov function for this system?

2 votes
1 answer
85 views

Will the graphs of equivalent indefinite integrals always look identical?

2 votes
1 answer
484 views

Can the Dominated Convergence Theorem and MCT be used for limits to zero?

2 votes
2 answers
674 views

How to prove that the set-theoretic difference operation $\setminus$ cannot be defined through $\cap$ and $\cup$

2 votes
2 answers
460 views

In proof writing, is it mathematically sound to prove uniqueness before proving existence?

1 vote
1 answer
180 views

Determining the Values of $\alpha$ for Which the Series is Conditionally and Absolutely Convergent

1 vote
3 answers
63 views

Square Root Algebraic Manipulation

1 vote
1 answer
434 views

Proof that any conjugate diameters of rectangular hyperbolas are reflections across an asymptote. (Hyperbolic Orthogonality)

1 vote
1 answer
59 views

Given $f(x)=o(1), g(x)=O(h(x)) \text{ as } x\to a $, show that $f(x)g(x)=o(h(x))$

1 vote
2 answers
104 views

How to find the other asymptote of $y=\sqrt{x^2+x}$

1 vote
2 answers
144 views

How to Find the Matrix in the Simple Iteration Method for Nonlinear Systems

1 vote
1 answer
31 views

Change of variable in an ODE - requesting clarification on algebraic manipulation of derivatives

1 vote
1 answer
52 views

Can the integral comparison test be used if the upper limit is finite?

1 vote
2 answers
81 views

Clarification on setting up the bounds of integration for $U = \{ (x,y) | -1 \leq x-y \leq 1 , \qquad1 \leq xy \leq 2 \}$

1 vote
1 answer
174 views

How to deal with the essential singularity when evaluating $\oint_{C} \cosh{\left( \frac{z}{z-2}\right)} \frac{z}{z^2 + 9}dz$

0 votes
2 answers
40 views

How to find operator norm $T(\bar{x}) = (3x_1 + 2x_2,x_3-4x_4,3x_5 + 2x_6, ...)$ [closed]

0 votes
4 answers
51 views

Where is the error in this solution of $\frac{dx}{y} = \frac{dy}{x} = \frac{dz}{z}$?

0 votes
1 answer
307 views

Using Sturm's Comparison Theorem to bound the distance between two consecutive zeroes of ODE

0 votes
3 answers
202 views

How do I compute $\lim_{x \to 0}{(\sin(x) + 2^x)^\frac{\cos x}{\sin x}}$ without L'Hopital's rule?

0 votes
1 answer
328 views

Proving Convergence of a series using the Cauchy or d'Alembert test

0 votes
5 answers
88 views

Help me spot the error in my solution to the equation $25^x=6+5^x$