Alan C
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### Questions (15)

 23 How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$? 7 Understanding the Schwarz reflection principle 7 Does $f, f' \in L^1([0, \infty))$ imply that $\lim_{x \to \infty} xf(x) = 0$? 6 Is there a geometric argument that the Legendre transform of a convex function is convex? 5 showing exact functors preserve exact sequences (abelian categories, additive functors, and kernels)

### Reputation (747)

 +5 How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$? +5 Example to show that multiplication by ideals and intersection of submodules do not commute +5 Understanding the Schwarz reflection principle +5 Is there a geometric argument that the Legendre transform of a convex function is convex?

 13 Why is $y = \sqrt{x-4}$ a function? and $y = \sqrt{4 - x^2}$ should be a circle 7 Is there a methodical way to compute Euler's Phi function 1 How to show that e.g. $\cos(z)$ is analytic using Cauchy- Riemann differential equations? 1 How do I prove the divergence of this series?

### Tags (32)

 13 functions × 2 7 totient-function 13 graphing-functions 1 complex-analysis × 4 13 algebra-precalculus 1 divergent-series 13 relations 1 sequences-and-series 7 elementary-number-theory 0 linear-algebra × 2

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