Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![**Problem 3**
Let \( n \geq 1 \), \( x \) be a real number, and \( x \geq -1 \). Prove the following statement using mathematical induction.
\[
(1 + x)^n \geq 1 + nx
\]](https://content.bartleby.com/qna-images/question/06a2994e-9ea9-4c4e-b01c-652fae7627ae/cfbbb7b0-27fc-42a4-b5b6-879cd6092b7a/3kap8l8_processed.png)
Transcribed Image Text:**Problem 3**
Let \( n \geq 1 \), \( x \) be a real number, and \( x \geq -1 \). Prove the following statement using mathematical induction.
\[
(1 + x)^n \geq 1 + nx
\]
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