Are the following statements true or false? I. L'Hopital's Rule says that the limit of a function equals the limit of the derivative. [ Select ] False True II. L'Hopital's Rule can sometimes be used multiple times in the same problem. [ Select ] True False III. If lim 𝑥 → 𝑎 𝑓 ( 𝑥 ) = ∞ and   lim 𝑥 → 𝑎 𝑔 ( 𝑥 ) = ∞ , then   lim 𝑥 → 𝑎 ( 𝑓 ( 𝑥 ) − 𝑔 ( 𝑥 ) ) = 0  . [ Select ] True False IV. If lim 𝑥 → 𝑎 𝑓 ( 𝑥 ) = 0   and   lim 𝑥 → 𝑎 𝑔 ( 𝑥 ) = 0   , then   lim 𝑥 → 𝑎 ( 𝑓 ( 𝑥 ) − 𝑔 ( 𝑥 ) ) = 0  . [ Select ] False True V. If lim 𝑥 → 𝑎 𝑓 ( 𝑥 ) = ∞    and   lim 𝑥 → 𝑎 𝑔 ( 𝑥 ) = 0   , then   lim 𝑥 → 𝑎 ( 𝑓 ( 𝑥 ) − 𝑔 ( 𝑥 ) ) = ∞   . [ Select ] False True多重下拉选择题