75. Recall that if f (t) > g(t) for t > 0, then for all x > 0, g(t) dt The inequality e > 1 holds for t 2 0 because e > 1. Use (7) to prove that e > 1+ x for x > 0. Then prove, by successive...

evaluate the integral using the methods covered in the text so far.

75. Recall that if f (t) > g(t) for t > 0, then for all x > 0,<br>g(t) dt<br>The inequality e > 1 holds for t 2 0 because e > 1. Use (7) to prove that e > 1+ x for x > 0. Then prove,<br>by successive integration, the following inequalities (for x > 0):<br>e 21+x+<br>e* >1+x+5*<br>

Extracted text: 75. Recall that if f (t) > g(t) for t > 0, then for all x > 0, g(t) dt The inequality e > 1 holds for t 2 0 because e > 1. Use (7) to prove that e > 1+ x for x > 0. Then prove, by successive integration, the following inequalities (for x > 0): e 21+x+ e* >1+x+5*

Jun 04, 2022

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75. Recall that if f (t) > g(t) for t > 0, then for all x > 0, g(t) dt The inequality e > 1 holds for t 2 0 because e > 1. Use (7) to prove that e > 1+ x for x > 0. Then prove, by successive...

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