avz2611

# 27 Favorites

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### Let $p\geq 5$ be a prime. Show that $\sum_{k=0}^{\frac {p-1}{2}} {\binom p k}3^k \equiv 2^p-1 \pmod {p^2}$ [duplicate]

Nov 2 '17 at 14:37 Mathejunior 1,720
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### $f$ increasing , $c \in I$ ; $a_n<c<b_n , \forall n\in \mathbb N$ and $\lim \Big(f(a_n)-f(b_n) \Big)=0$ , then $f$ is continuous at $c$ ? [duplicate]

Oct 6 '14 at 7:03 Souvik Dey 4,124
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