How can I show that the variation of $sin(x)/x$ is unbounded? Could you please help me. I know that I have to use
but how can I rough estimate that this is bigger than infinity?
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1$\begingroup$ Are you familiar with any summations that are unbounded? Perhaps related to $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\dots$. Can you think of when the $\sin(x)$ part of $\sin(x)/x$ is irrelevant, perhaps equal to one, negative one, or zero? $\endgroup$– JMoravitzCommented Jun 6, 2016 at 16:51
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$\begingroup$ Consider the partition $\{\frac{\pi}{2}i\}_{i\in \mathbb{Z}} $ $\endgroup$– TheOscillatorCommented Jun 6, 2016 at 20:26
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