# Niklas

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# 4 Questions

 5 What function $f$ such that $a_1 \oplus\, \cdots\,\oplus a_n = 0$ implies $f(a_1) \oplus\, \cdots\,\oplus f(a_n) \neq 0$ 1 Find period of power sequence $a^k \mod m$, with $a, m$ not coprime 1 Finding $\lim_{x \to 1^+} \frac{x^x+\frac{x}{2}-\sqrt x-\frac{1}{2}}{\log(x)-x+1}$ 0 Solving the equation $n(n-1)\cdot\cdot\cdot(n-k+2)(n-k+1) = a$ [duplicate]

# 142 Reputation

 +5 Find period of power sequence $a^k \mod m$, with $a, m$ not coprime +25 What function $f$ such that $a_1 \oplus\, \cdots\,\oplus a_n = 0$ implies $f(a_1) \oplus\, \cdots\,\oplus f(a_n) \neq 0$ +5 Finding $\lim_{x \to 1^+} \frac{x^x+\frac{x}{2}-\sqrt x-\frac{1}{2}}{\log(x)-x+1}$

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# 13 Tags

 0 discrete-mathematics × 2 0 modular-arithmetic 0 elementary-number-theory 0 natural-numbers 0 functions 0 number-theory 0 group-theory 0 real-analysis 0 homework 0 algorithms

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