L'Hôpital's Rule and Indeterminate Forms
A student claims that the limit lim(x→∞) (e^x - x^2) can be evaluated using L’Hôpital’s Rule. Which of the following statements correctly assesses this claim?
A
The claim is incorrect; this ∞-∞ form is not assessed on the AP exam
B
The claim is correct; rewrite as e^x(1-x^2/e^x) and evaluate
C
The claim is correct; apply L’Hôpital’s Rule twice to get e^x
D
The claim is incorrect; this limit doesn’t exist
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