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i dont even know where to start...any tips just to point me in the right direction?

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- Thread starter nps12345
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- #1

- 1

- 0

i dont even know where to start...any tips just to point me in the right direction?

- #2

gb7nash

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Let f be a continuous function defined on (a, b). Assume f(x)=0 for all rational numbers x in (a, b) and assume that f(x)≠0 on (a, b), so...

- #3

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1) If f is continuous and if [itex]x_n\rightarrow x[/itex], then [itex]f(x_n)\rightarrow f(x)[/itex].

2) For every real number x there exists a sequence of rational numbers that converges to x. This is saying that [itex]\mathbb{Q}[/itex] is dense in [itex]\mathbb{R}[/itex]

Try to do something with these things...

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