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Prove that log(e)(1+x)ltxforxgt0...

Prove that `log_(e)(1+x)ltxforxgt0`

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To prove that \( \log_e(1+x) < x \) for \( x > 0 \), we can follow these steps: ### Step 1: Define the function Let \( f(x) = \log_e(1+x) - x \). ### Step 2: Find the derivative of the function To analyze the behavior of \( f(x) \), we need to find its derivative \( f'(x) \): \[ ...
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