Zuy

 4 During certain sequences of coin flips, why does HHHT have a greater chance than HHHH? 3 Let $f : [a,b] \rightarrow R$ be a function for which $\lim_{x \to + a} f(x) = \inf$. Prove that f is not continuous. 3 The Cartesian Product of two metric spaces and sequences that converge 3 Equivalence relation criteria 3 Given the sequence of real numbers with the restrictions $0\frac{1}{4}$, show that $\lim_{n\to\infty} x_n=\frac{1}{2}$

### Reputation (1,401)

 +14 Find the value of $x^2 + \dfrac{1}{x^2}$ +18 Limit at $+\infty$ of $\mathcal C^1$-function whose derivative lies in $L_p$ +15 How to get this limit? +10 Is it so that $\sigma(\cup_i \sigma(A_i)) = \sigma(\cup_i A_i)$?

### Questions (36)

 6 Max. distance of 2D random walk 5 Let $R$ be a closed equivalence relation on a Hausdorff space $X$. Show that $X/R$ is Hausdorff. [duplicate] 4 Maximal ideal with given condition 4 Path components of Topologist's Sine Curve 3 Sufficient criterion for convergence of series

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 15 real-analysis × 11 5 linear-algebra × 9 8 sequences-and-series × 8 5 probability × 8 7 complex-analysis × 7 5 limits × 5 6 calculus × 7 4 induction × 2 6 elementary-set-theory × 6 3 functions × 4

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