nayrb

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I fill in "About Me" sections from time to time.

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20 Answers

newest activity votes

10

Question on closed sets

10

Accidents of small $n$

5

Is high school contest math useful after high school?

5

Limits for sequences and the $e$ method

3

What is an integral element?

3

Prove $\int\cos^n x \ dx = \frac{1}n \cos^{n-1}x \sin x + \frac{n-1}{n}\int\cos^{n-2} x \ dx$

2

Function Spaces

2

Evaluate $\lim\limits_{n\to\infty}\frac{\sum_{k=1}^n k^m}{n^{m+1}}$

1

Is this function from $[-1,1] \rightarrow \mathbb{R} \cup \infty$ continuous?

1

Why does Newton's method work?

1

Best Fake Proofs? (A M.SE April Fools Day collection)

1

What is inverse of $I+A$?

1

Why are only the trivial subsets clopen in $\Bbb R^n$?

1

Where to go after Advanced Calculus 2?

1

Why does the radius of convergence stay the same when adding two power series with the same radius of convergence?

0

Improper integral $\int_{0}^{\infty}\frac{x^n}{x^{m+n+1}} \ dx=\frac{n! {(m-1)}!}{(m+n)!}.$

0

Testing for Orthogonality

0

Find all the continuous functions such that $\int_{-1}^{1}f(x)x^ndx=0$.

0

How can I figure out the plot of the set $M:=\{(x,y) \in R:\frac{1}{2}\leq x \land 1<y<\frac{1}{x}\}$

0

$A=\{x\in \mathbb{R}\mid b^x < y\}$ is nonempty

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