### Questions (443)

 14 Idea behind “reparameterization hiding a corner” in single variable calculus 7 Show $\lim_{h \to \ 0} \frac{f(x + 2h) - 2f(x+h) + f(x)}{h^{2}} = f''(x)$ Proof verification 7 Suppose $p, p+2, p+4$ are prime numbers. Prove that $p = 3$ not using division algorithm. 5 Showing $\lim_{h \to 0} \frac{\|a+h\| - \bigg(\|a\| + \frac{a\cdot h}{\|a\|}\bigg)}{\|h\|} = 0$ 5 Find the vector given the dot product and cross product of a set of vectors.

### Reputation (5,193)

 +8 Show that the tangent plane of the of the cone intersects the cone in a line - help in communicating idea correctly. +50 Showing $\lim_{h \to 0} \frac{\|a+h\| - \bigg(\|a\| + \frac{a\cdot h}{\|a\|}\bigg)}{\|h\|} = 0$ +10 Is $\{(e^{-x}\cos(\theta), e^{-x}\sin(\theta)): x \geqslant 0, 0 \leqslant \theta \leqslant2\pi\}$ Compact? +10 Find the unit vector $v$ with the property that $D_{v}f(a)$ is as large as possible. In a multivariate environment

### Answers (3)

 1 How does the central limit theorem enable the approximation of probabilities? 0 Simple algebra issue with regards to finding the correct $Z$ value when using the Central Limit Theorem 0 A rumor is spread randomly among a group of 10 people

### Tags (155)

 1 central-limit-theorem × 7 0 proof-explanation × 44 0 real-analysis × 211 0 linear-algebra × 42 0 calculus × 116 0 probability × 39 0 sequences-and-series × 54 0 multivariable-calculus × 37 0 proof-verification × 49 0 probability-theory × 30

### Bookmarks (67)

 802 How to study math to really understand it and have a healthy lifestyle with free time? [closed] 425 Proofs that every mathematician should know. [closed] 346 Zero to the zero power – is $0^0=1$? 225 How to read a book in mathematics? 224 Why do we care about dual spaces?

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