Newbetuts

Show that it is possible that the limit $\displaystyle{\lim_{x \rightarrow +\infty} f'(x)} $ does not exist.

Discrete Mathematics: $x\leq y+\epsilon \implies x\leq y$

Inequality constraints in calculus of variations

Is there any way to systematically do all epsilon delta proofs?

Is there a simpler proof of this fact in analysis?

Compute this integral

Integrate $\int \cos^4 x\,\mathrm dx.$

A question regarding Czarnowski's cat function

Prove That If $(x^{2}+y^{2})\cos^{2}\psi+z^{2}\cot^{2}\psi=A^2$ then $\nabla ^2 \psi=0$.

How to show that $(1+\frac1x)^x$ is increasing on $[0,+\infty[$

Slope of the tangents to the circle $x^2+y^2-2x+4y-20=0$

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^2=\frac{\pi^2}{24}$

Integral of the Von karman equation

Interchanging Summation and Integral

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How to solve this power series problem

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Finding $\lim_{x\to 0} \frac {2\sin x-\sin 2x}{x-\sin x}$ geometrically

$\lim x_n^{x_n}=4$ prove that $\lim x_n=2$ [duplicate]

Deriving the surface area of a sphere from the volume

Frullani integral $\int_0^\infty \frac{\text{csch}(x)-\frac1x}{x} {\rm d}x$

Show that it is possible that the limit $\displaystyle{\lim_{x \rightarrow +\infty} f'(x)} $ does not exist.

Discrete Mathematics: $x\leq y+\epsilon \implies x\leq y$

Inequality constraints in calculus of variations

Is there any way to systematically do all epsilon delta proofs?

Is there a simpler proof of this fact in analysis?

Compute this integral

Integrate $\int \cos^4 x\,\mathrm dx.$

A question regarding Czarnowski's cat function

Prove That If $(x^{2}+y^{2})\cos^{2}\psi+z^{2}\cot^{2}\psi=A^2$ then $\nabla ^2 \psi=0$.

How to show that $(1+\frac1x)^x$ is increasing on $[0,+\infty[$

Slope of the tangents to the circle $x^2+y^2-2x+4y-20=0$

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^2=\frac{\pi^2}{24}$

Integral of the Von karman equation

Interchanging Summation and Integral