n- 1)n(n+ Let ak = k(k + 1). Use induction to show that E ak holds for any integer n > 2 3

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Q: (0 if xE Q (1 if x E I If f (x) = show that f is not Reimann Integrable

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Q: 2-Show that the following polynomials from a basis for P2. 1- 3x + 2x²,1 + x + 4x²,1 – 7x

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Q: 1+1

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Q: Let A and B be sets. Prove that A U B = An B if and only if A = B

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Q: (b) Prove that for all sets A and B, (AN B)° = A¢ U B°.

A: We have to prove that for all sets A and B, A∩Bc=Ac∪Bc