iggykimi

### Questions (28)

 5 How to evaluate: $\lim\limits_{n\to\infty} \frac{1^{p-1}+2^{p-1}+…+n^{p-1}}{n^p}$ 4 If $\{0_v\} \neq T \leq S_1$ and $S_1 \oplus S_2 = S_1 \oplus S_3$, then $T+S_2 = T+S_3$? 3 Let $A$ and $B$ be matrixes. If $BA=B$ and $Rank\space A = Rank\space B$, prove $A^2=A$ 3 How to evaluate $\lim_{n\to\infty} \dfrac{1^p+2^p+…+n^p}{n^p}-\frac{n}{p+1}$? [duplicate] 3 Application of squeeze theorem

### Reputation (319)

 +5 Which is the maximum value of $k^2 \binom{n}{k}$, for $k$ and $n$ integers? +5 What value does $\sum_{n=1}^{\infty} \dfrac{1}{4n^2+16n+7}$ converge to? +10 Combinatorics - Give formula for the number of integer solution of this system (with an extra condition) +5 How to evaluate: $\lim\limits_{n\to\infty} \frac{1^{p-1}+2^{p-1}+…+n^{p-1}}{n^p}$

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### Tags (22)

 0 real-analysis × 9 0 limits-without-lhopital × 4 0 linear-algebra × 8 0 summation × 3 0 limits × 5 0 combinatorics × 3 0 analysis × 4 0 convergence × 2 0 sequences-and-series × 4 0 proof-verification

### Accounts (4)

 Mathematics 319 rep 10 Stack Overflow 114 rep 4 Meta Stack Exchange 101 rep 1 Stack Overflow en español 101 rep 1