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By Onizuka (Onizuka) on Thursday, October 02, 2003 - 10:08 pm: Edit |

Was wondering if anyone could solve this problem and tell me step by step as to how they solved it. Any help would be greatly appreciated.

Consider the function

f(x)= {1 if x is a rational number

{0 if x is a irrational number

a) Show that the limit of f(x) as x approaches 'a' = Does not exist for all values

A E R, (where 'a' is an element of all real numbers incase you can't tell).

b) Draw an 'approximate' sketch of f(x) for

x E [0,1]

thanks

By Fairyofwind (Fairyofwind) on Thursday, October 02, 2003 - 10:10 pm: Edit |

http://mathworld.wolfram.com/DirichletFunction.html

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