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Calc

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A metal cable has radius r and is covered by insulation, so that the distance from the center of the cable to the exterior of the insulation is R. The velocity v of an electrical impulse in the cable is

v = -C(r/R)^2*ln(r/R)

where c is a positive constant. Find the following limits and interpret your answer

(a) lim R--->r+ (v)
(b) lim r----->0+ (v)

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