Is it good to use mean value theorem in $\epsilon-\delta$ continuity proofs?

Finding Maximum Area of a Rectangle in an Ellipse

Show $\frac{3997}{4001}>\frac{4996}{5001}$

Normalized partial sums of normal random variables are dense in $\mathbb{R}$

Could the Monty-Hall Problem be applied to multiple choice tests?

Is there a site to draw a curve and get the equivalent equation?

If $A=\frac{1}{\frac{1}{1980}+\frac{1}{1981}+\frac{1}{1982}+........+\frac{1}{2012}}\;,$ Then $\lfloor A \rfloor\;\;,$

Solving linear recursive equation $a_n = a_{n-1} + 2 a_{n-2} + 2^n$.

$Tr(A^2)=Tr(A^3)=Tr(A^4)$ then find $Tr(A)$

Why do we require that a simple Lie algebra be non-abelian?

Counterexample: Continuous, but not uniformly continuous functions do not preserve Cauchy Sequences

$f(x)$ is an analytic function in $\mathbb{R}$ such that $f(-x)f(x)=1$. What else can we find out about $f(x)$?

Is there a continuous function such that $\int_0^{\infty} f(x)dx$ converges, yet $\lim_{x\rightarrow \infty}f(x) \ne 0$?

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