An emergency repair team models the cost

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

An emergency repair team models the cost, in dollars, of reaching a broken pipeline located

d

kilometers from its base by

C(d)=\dfrac{1000}{d-5}+200

, where

d>5

. Determine

\displaystyle \lim_{d\to5^{+}} C(d)

. (a)

200

(b) The limit does not exist because it diverges to

+\infty

(c)

0

(d) The limit does not exist because it diverges to

-\infty