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By what tools can we evaluate limits like this:
Lim (sin((n+1)/n^2) + sin((n+2)/n^2) + ... + sin((2n)/n^2)) as n->infinity
I've played around with Maclaurin polynomials, squeeze and Stolz–Cesàro theorems...
Lim (sin((n+1)/n^2) + sin((n+2)/n^2) + ... + sin((2n)/n^2)) as n->infinity
I've played around with Maclaurin polynomials, squeeze and Stolz–Cesàro theorems...