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csch2
  • Member for 6 years, 1 month
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  • North Carolina, United States
6 votes
Accepted

L'Hopital's Rule seemingly not giving graphical result

6 votes

Are there more rectangles than squares?

6 votes
Accepted

Number of solutions of the equation: $\tan x=\cos2x$ in $[-π, π]$

6 votes
Accepted

For $f : \mathbb{R} \stackrel{\text{cont.}}{\to} \mathbb{R}$, show that $\int_{0}^{1} f(x)x^2\,dx = \frac{1}{3}f(c)$ for some $c \in [0,1]$.

5 votes

Find this limit $\lim_{n\rightarrow \infty} \frac{n}{n+1}-\frac{n+1}{n}$. Am I correct?

5 votes
Accepted

Where does this proof that $1 = 2$ go wrong? (Expressing $x^2=\sum_{n=1}^xx$ and differentiating)

5 votes

If $f(x)$ is integrable can we say that $f(x)^n$ is integrable?

5 votes
Accepted

Why does $\frac{|\sin\theta|}{2}<\frac{|\theta|}{2}<\frac{|\tan\theta|}{2}$ not imply that $1>\lim_{\theta\to 0}\frac{\sin\theta}{\theta}>1$?

5 votes
Accepted

Prove that $\{ x_n \}_{n \in \mathbb{N}}$ is a Cauchy sequence

5 votes
Accepted

Show that $f_n(x)$ converges uniformly to a continuous function on $[0,1 ]$

5 votes
Accepted

What is an example of a complex function with a zero of infinite order (other than the zero map $z \to 0$)?

5 votes
Accepted

Is the Distance Formula applicable for 4-Dimensional Coordinate System? If yes, what is its physical significance?

5 votes
Accepted

Is $F=\{-1, 0, 1\}$ a subfield of $\mathbb C$?

5 votes
Accepted

understanding Multiplicity

5 votes

Symbol for the number of elements in a set

4 votes

Evaluate $\lim_{x \to 0+} (\sin x)^x$

4 votes

Question about evaluating a Definite Integral w/ U-Substitution

4 votes
Accepted

I need advice in building self-study courses?

4 votes
Accepted

With derivatives, why doesn't '$h$' in the denominator not invalidate the whole function as diving by zero?

4 votes

Could you suggest basic mathematics textbooks (calculus, linear algebra) that are written in an intuitive manner?

4 votes
Accepted

A physicist studying math as a hobby -- any recommendations?

4 votes
Accepted

Can you claim $1+i>1$?

4 votes

How can this statement be false? "If $\forall x \in D$, $P(x)$ then $\exists x \in D$ such that $P(x)$."

4 votes
Accepted

Prove that absolute value of complex conjugate is equal to complex number

3 votes

What if function has cartesian product as domain but actual function only uses one variable?

3 votes
Accepted

L'Hopital's rule conditions

3 votes
Accepted

What is an outline of a proof?

3 votes
Accepted

Does the following statement hold true ? (asymptotics)

3 votes
Accepted

Is there a notion of maps that can "expand" spaces "linearly"?

3 votes

The limit points of the disk $\{z \mid|z| < 1\}$

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