# clark

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 29 using numbers 1 to 9 only once to equal 1 million 21 Prove that $\mathbb{R^*}$, the set of all real numbers except $0$, is not a cyclic group 15 Polynomial always non-negative 13 Prove that $4x-x^4 \leq 3, x \in \Bbb R$ 12 Why is every answer of $5^k - 2^k$ divisible by 3?

# 5,095 Reputation

 +60 Calculating a limit of integral +40 Abelian group of order 99 has a subgroup of order 9 +10 If a continuous function satisfies $|f(z)^2-1|<1$ for every $z$, then either $|f(z)-1|<1$ of $|f(z)+1|<1$ for every $z$ +10 Prove that $4x-x^4 \leq 3, x \in \Bbb R$

# 10 Questions

 10 Number of elements of $3n$ binary tuples, where the ordinates add up to $2n$. 5 Subspaces of separable normed spaces 3 Converse of sylow theorem 3 Infinite intersection of kernels 2 Count permutations.

# 75 Tags

 98 real-analysis × 36 45 group-theory × 9 55 calculus × 26 32 abstract-algebra × 4 54 inequality × 10 32 polynomials × 4 45 limits × 20 29 recreational-mathematics 45 sequences-and-series × 17 27 number-theory × 6

# 1 Account

 Mathematics 5,095 rep 1931