Suppore x is rational, then there exist a rational number n so that x = 1/₂ 2 L n бо, е (ex) = = e Raise both sides to the power n & what do we get? Recall, the product of n real numbers or x/ 2. So, é I real numbers in n always real. is a real number for any. real even if we have to think of x as the limit of a sequence of of a sequence of rational number x numbers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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Suppore x is rational, then there exist a
rational number n
x = 1
always real.
n
is
So, e
(ex)
Raise both sides to the power n
powern & what
do we get? Recall, the product of n
real numbers or
real numbers in
so
So, é
e
= e
>
that I
2.
real
any.
number x
even if we have to think
of x as the limit of a sequence of rational
numbers.
a real number for
Transcribed Image Text:Suppore x is rational, then there exist a rational number n x = 1 always real. n is So, e (ex) Raise both sides to the power n powern & what do we get? Recall, the product of n real numbers or real numbers in so So, é e = e > that I 2. real any. number x even if we have to think of x as the limit of a sequence of rational numbers. a real number for
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