Let n > 1, x be a real number, and a > -1. Prove the following statement using mathe- matical induction. (1 + x)" > 1 + nx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.

\[
(1 + x)^n \geq 1 + nx
\]
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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