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Let a be a positive constant. Consider the curves C1: y = e^x and C2: y = e^(a - x). Let S be the area enclosed by C1, C2 and the y-axis. Find lim (a -> 0) of S/a².
- 4
- 1/2
- 0
- 1/4
Correct answer: 1/4
Solution
The enclosed area for small a behaves like a²/4, so the limit of S/a² is 1/4.
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