Limn-x- nn2-xlimn- nn2-x2-

[By D.c Hospital rule form is∞∞] [ lim #160; #160;_ x→∞ #160; { x∑ #160; n n^ 2 #160; } ...

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(a + b)^2 Expansion and Visualisation

limn→∞x·∑ nn2...

Question

$lim n \to \infty {x \cdot \frac{\sum n}{n^{2}}} = x lim n \to \infty \frac{\sum n}{n^{2}} = \frac{x}{2}$ .

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