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Prove that for t >1, (1+i)^t > (1+it)

Prove that for t >1, (1+i)^t > (1+it)

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Answer #1

We know that the expansion ,

Substituting  ,   in the above identity we get ,

, because the terms we chopped out were positive .

Hence , .

.

.

I wish the i used is not complex number because two complex number are not compareable .Please comment if needed .

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