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 Question from hanan, a student: lim (1- 2 cosx)/(sin(x- π/3))

Hanan,

If this is the limit as x approaches π/3 then the best approach is to use l'Hopital's Rule. The form of l'Hopital's Rule that applies here is

If lim f(x) = 0 as x approaches a, lim g(x) = 0 as x approaches a and lim f '(x)/g'(x) exists as x approaches a then lim f(x)/g(x) = lim f '(x)/g'(x) as x approaches a.

Harley

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