Solution 1.1:4f

From Förberedande kurs i matematik 1

(Difference between revisions)
Jump to: navigation, search
m (Robot: Automated text replacement (-[[Bild: +[[Image:))
Current revision (14:03, 13 September 2008) (edit) (undo)
 
(One intermediate revision not shown.)
Line 1: Line 1:
-
Addition mellan heltalet 1 och det talet <math>\pi</math> ger ett tal som har samma decimalutveckling som <math>\pi</math>, och eftersom <math>\pi</math> är irrationellt är också <math>\pi+1</math> irrationellt.
+
Adding 1 to <math>\pi</math> gives a number with the same decimal expansion as <math>\pi</math>, and since <math>\pi</math> is irrational
 +
then <math>\pi+1</math> must be irrational.
 +
 
<!--<center> [[Image:1_1_4f.gif]] </center>-->
<!--<center> [[Image:1_1_4f.gif]] </center>-->

Current revision

Adding 1 to \displaystyle \pi gives a number with the same decimal expansion as \displaystyle \pi, and since \displaystyle \pi is irrational then \displaystyle \pi+1 must be irrational.