Question

lim x->(pi/3) (cos x -(1/2))/(x-(pi/3)) is?

Answer 1

Since the ratio becomes indeterminate (0/0) at x = pi/3, take the ratio of the derivatives of numerator and denominator at x = pi/3.

lim x->(pi/3) (-sin x)/(1)
= -sin (pi/3)
= -(sqrt3)/2 = -0.866..

Answer 2

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