Which of the following limits can NOT be evaluated using l'Hopital's Rule? (Select all that apply.)   多项选择题

A

lim 𝑥 → ∞ 𝑒 𝑥 sin ⁡ 𝑥

B

lim 𝑥 → ∞ 𝑒 𝑥 5 𝑥

C

lim 𝑥 → 1 𝑥 2 − 1 𝑥 2 + 2

D

lim 𝑥 → 0 𝑥 2 + 2 sin ⁡ 𝑥

E

lim 𝑥 → 0 sin ⁡ 𝑥 𝑥

F

lim 𝑥 → 0 1 − cos ⁡ 𝑥 𝑥

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