I've spent the better part of this day trying to show from first principles that this sequence tends to 1. Could anyone give me an idea of how I can approach this problem?
limn→+∞n1n
Answer
You can use AM≥GM.
1+1+⋯+1+√n+√nn≥n1/n≥1
1−2n+2√n≥n1/n≥1
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