x z-x ln z (a) For all positive integers n ≥ 1, prove that 2" > 2n. 2. Here you will prove that lim ∞ without any use of L'Hopital's Rule. [r]. (b) For all real numbers x ≥ 1, prove that 22. Hint:Define n =

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A: Using rules of limit's.

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A: Explanation of the answer is as follows

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Q: (금) a1/ Prove that cothx in ()

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

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A:

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A: limit value = ?

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A: Given problem is :

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