NLCS Maths Department

Prove that for n E Z ,n>2, n(n+1)>(n+1)n. Prove that sqrt(3) is irrational. What are the possible unit digits for perfect squares? What are the possible remainders when a cube is divided by 9? ... draw a graph of sinx, sin2x, sin3x. prove infinity of primes, prove infinity of primes of form 4n+1. ................
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