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Am I reading this wrong, or does this sequence not converge?

There is no k dependence in the summation, so we can take out the 1/n

so that gives n*1/n

Am I misunderstanding something? Or does my teacher consider this sequence to be "converging" to negative infinity, which seems strange.

Am I reading this wrong, or does this sequence not converge?

There is no k dependence in the summation, so we can take out the 1/n

^{1/2}, and the summation of 1 from k=1 to n is just n, right?so that gives n*1/n

^{1/2}-2n^{1/2}= n^{1/2}-2n^{1/2}=-n^{1/2}...and this sequence diverges to negative infinity...Am I misunderstanding something? Or does my teacher consider this sequence to be "converging" to negative infinity, which seems strange.

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