Charles Bao

### Questions (29)

 49 Proof of 1 = 0 by Mathematical Induction on Limits? 41 Calculate sums of inverses of binomial coefficients 6 Difficult Integral: $\int\frac{x^n}{\sqrt{1+x^2}}dx$ 4 Expected value of Stock Price 4 How can we prove the locus is a circle?

### Reputation (1,453)

 +10 Calculate sums of inverses of binomial coefficients -2 find an upper bound of the sequence like $a_{n+1}=\frac{na_n+a_n^2}{n+1}$ -2 how to prove the inequality $\sqrt[n]{\frac{a^n+b^n}{2}}\geq\frac{a+b}{2}$? -2 A mathematical game: moving tiles

 0 Is uniqueness of steady-state vector sufficient to regular transition matrix? 0 the strategy about a $0-1$ matrix game

### Tags (31)

 0 geometry × 8 0 limits × 3 0 inequality × 5 0 matrices × 2 0 linear-algebra × 4 0 markov-chains × 2 0 probability × 4 0 induction × 2 0 sequences-and-series × 4 0 calculus × 2

### Bookmarks (8)

 425 Proofs that every mathematician should know. [closed] 109 What makes a theorem “fundamental”? 49 Proof of 1 = 0 by Mathematical Induction on Limits? 4 How can we prove the locus is a circle? 2 The definition of the curve?