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1) Prove by induction that 1-1/2 + 1/3 -1/4 + ... - (-1)^n /n is always...

1) Prove by induction that 1-1/2 + 1/3 -1/4 + ... - (-1)^n /n is always positive

2) Prove by induction that for all positive integers n, (n^2+n+1) is odd.
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