Question: 2. Weak Induction (15 points) (1) (5 points) Using weak induction, prove that 3 6. (2) (5 points) Prove that log(n!) 1. Reminder 1: log(1)

2. Weak Induction (15 points) (1) (5 points) Using weak induction,

2. Weak Induction (15 points) (1) (5 points) Using weak induction, prove that 3" 6. (2) (5 points) Prove that log(n!) 1. Reminder 1: log(1) = 0. Reminder 2: log(a*b) = log(a) + log (6). Reminder 3: If a 1 that if A1, A2, ..., An and B are sets, then: (ANA2N...NAn)UB = (AjUB)n(A2UB)N...N(AUB) Hint: Use the fact that (XNY) UZ = (XUZ)n(Y UZ) where X, Y, and Z are sets. Continued on the back

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