Limits & Continuity · IB Mathematics Applications and Interpretation

IB Mathematics Applications and Interpretation Quiz

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A parking garage charges for parking based on the number of hours,

h

. The cost,

C(h)

, is $5 for the first hour or any fraction thereof, and an additional $3 for each subsequent hour or fraction thereof. This can be modelled by a step function where the cost for

h

hours is

C(h) = 5

for

0 < h \le 1

C(h) = 8

for

1 < h \le 2

, and so on.

Calculate the value of

\lim_{h \to 2^+} C(h) - \lim_{h \to 2^-} C(h)

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