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1a) Prove that the infimum of the set (a, b] is equal to a, where a...

1a) Prove that the infimum of the set (a, b] is equal to a, where a and b are real numbers satisfying a < b.

1b) Prove that the sequence xn = 2n diverges to ∞. Do not use any facts we haven’t proved (for example, properties of the logarithm function).

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