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How many conjugacy classes does the group \(\mathbb{Z}/5\mathbb{Z}\) have?

Is the sequence \(\{a_n\}_{n=0}^{\infty}\) given by \(a_n=n^2\) a subsequence of the sequence \(\{b_n\}_{n=0}^{\infty}\) given by \(b_n=n\)?

If a sequence converges, does every subsequence of that sequence also converge?

Consider the metric space consisting of continuous functions on \([0,1]\) with the metric \[d(f,g)=\int_0^1 |f(x)-g(x)|\, dx.\] Is the sequence ...

Is the sequence given by \(a_n=\frac{1}{n^2}\) a Cauchy sequence?

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