Consider the limits of the differentiable functions a through ƒ. lim a(x) = 0 x-0 lim b(x) x-0 = 0 lim c(x) = 0 lim d(x) = 0 X00 lim e(x) = x→0 lim f(x) = ∞ x→0 Select the limit expressions for which l'Hôpital’s rule is applicable. O lim [c(x) · d(x)] e(x) lim x→0 a(x) c(x) lim lim b(x)/(*) x-0 x→∞ d(x) lim [a(x) · e(x)] x-0

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A: Explanation of the answer is as follows

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.