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in Limit, continuity and differentiability by (50.2k points)

Evaluate: lim(n→∞) n2{√((1 – cos(1/n))√(( 1 – cos(1/n))√((1 – cos(1/n) ... ∞)))}

1 Answer

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Best answer

Put 1/n = x

= lim(x → 0)(2sin2(x/2)/(x2/4)/4)

= 1/2

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