# Mher

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If you're not prepared to be wrong, you'll never come up with anything original.

 8 Suppose $\sum{a_n}$ converges. How do I prove that $\sum{\frac{\sqrt{a_n}}{n}}$ converges 7 Finding the last two digits of a number by binomial theorem 6 How to prove that $\sum_{n=1}^{\infty}\frac{1!+2!+\cdots+n!}{(2n)!}$ converges? 5 Prove that there exists a point $c$ such that $f''(c)\ge 4$ 5 Using Vieta's Formulas to find expression involving polynomial roots

# 2,712 Reputation

 +315 To find a measurable subset with arbitraray measure +25 If $\sup A = 5$ and $B = \left\{ 3a \mid a \in A \right\}$ then $\sup B = 15$ +25 If $\int_A f=0$ for every measurable subset $A$ of $E$, then $f(x)=0$ a.e. on $E$ +10 An example of a function in $L^1[0,1]$ which is not in $L^p[0,1]$ for any $p>1$

# 9 Questions

 43 Continued fraction fallacy: $1=2$ 19 Does the series $\sum\frac{a_n}{a_{n+1}}\frac{1}{n}$ always diverge if \$0

# 65 Tags

 42 real-analysis × 27 11 measure-theory × 7 28 sequences-and-series × 12 10 analysis × 7 14 convergence × 8 8 matrices × 5 12 linear-algebra × 7 8 integration × 4 11 calculus × 9 7 elementary-number-theory

# 9 Accounts

 Mathematics 2,712 rep 425 Open Data 141 rep 2 Data Science 121 rep 4 Stack Overflow 101 rep 2 English Language & Usage 101 rep 1