test for convergence and/or divergence is convergent? i'm not sure what to do when it comes to trig functions in series.. integral test? comparison test?
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Use the divergence test: If , then diverges Here, consider: Let . As , . So our limit becomes the familiar:
Always first check whether the terms go to zero. If not, the series diverges. That's the situation here. There's no need for L'Hopital's Rule either. Let m=1/n... as .
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