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- Thread starter Phoenix314
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Pyrrhus

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- #4

Pyrrhus

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Alternatively you could consider [itex] \lim_{x \rightarrow 0} \frac{\sin x}{x} = 1 [/itex]

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just use the integral test

[tex]\sum_{n=1}^{\infty} \sin{\frac{1}{n}} \le \int_{1}^{\infty}\sin{\frac{1}{x}}dx \not< \infty [/tex]

its not finite and so does not converge

steven

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