John's user avatar
John's user avatar
John's user avatar
John
  • Member for 10 years, 5 months
  • Last seen this week
31 votes
Accepted

Limit of f(x) knowing limit of f(x)/x

21 votes

Infinite Series with Pi

15 votes
Accepted

Confusing about coordinate curves and quadrilateral formed?

13 votes

Finding the exact value of arctan function then adding it?

12 votes
Accepted

If f is a continuous map from X to Y with X limit point compact, does it follow that f(X) is limit point compact?

12 votes

How to show that $\frac14$ is in the standard Cantor set?

11 votes
Accepted

Strictly convex if and only if derivative strictly increasing?

10 votes
Accepted

Composition of a function with a metric

10 votes

$1/4$ is in the Cantor set?

9 votes
Accepted

Equidistribution of $an^\sigma$ for $\sigma\in(0,1)$

8 votes

Example of sequence such that $a_n\to0$ but $\sum a_n^2$ diverges

8 votes

Continuity of Inner product

8 votes

What is the geometric interpretation of the following equation?

8 votes

How can I find the radius of a circle from a chord and a section of the radius?

8 votes
Accepted

Independent $\sigma$-algebras using $\pi$-$\lambda$-theorem

7 votes
Accepted

Let $n = {1,2,3, ...}$, prove that $\left(1+\frac{1}{n}\right)^n$ is bounded above.

7 votes
Accepted

Sequence which converges pointwise but not uniformly?

6 votes
Accepted

$\lim \limits_{h\to \infty} \left(\frac{f(10+\frac{1}{h})}{f(10)}\right)^h $ given that $ f(10) = 5, f'(10)=2$

6 votes
Accepted

Factorization of $x^6 - 1$

6 votes
Accepted

Why is Q dense in R?

6 votes
Accepted

Prove $\lim_{x\to a} x^n = a^n$

6 votes
Accepted

Is the ball compact?

6 votes

Is the inverse of a measurable set under a continuous function is always measurable?

6 votes
Accepted

Expected value of an Exponential Function of Poisson Distribution

5 votes
Accepted

Show that the system of trigonometric functions is an orthogonal system

5 votes
Accepted

weak convergence of dirac measure $\delta_{\frac 1 n}$

5 votes

What is the significance of Convergence/Divergence of Series

5 votes

A bounded monotonic function on an closed interval has Fourier coefficient decaying in O(1/|n|)

5 votes

How to show a Fejér kernel is a good kernal??

5 votes

$f\left(x + \frac1x\right)= x^3+x^{-3},$ find $f(x)$

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