Solution 1.1:4f
From Förberedande kurs i matematik 1
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- | + | 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 | |
- | <center> [[ | + | then <math>\pi+1</math> must be irrational. |
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+ | <!--<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.