We want to compute the limit below with l'Hospital's Rule lim cot.(22:) sin(7m) a:%0 a) What is the indeterminate type of this limit? 00*00 0% 0% 0100 000700 b) To be able to use l'Hospital's Rule, we rewrite the limits in terms of cosine and sine functions only, to get A lim cot(2m)sin(7z) : lim (3) mO 12%0 3(a)) where [A(:L'),B(:L')] = E]. FORMATTING: Enter your answer as [A(m), B(m)], including the square brackets and with a comma (,) between the terms. For this question, you must use strict scientific calculator notation: multiplication is written *; for example, you must write 3 sin(3:1:) as 3 'sin(3*x). c) What is the indeterminate type of the limit lim 1&0 B($) 000 000700 0% 0% 00*00 found in (b)? d) According to l'Hospital's Rule, lor [A1(w),Bl(m)] = E! E]. FORMATTING: Type your answer in the form [141(3), 31013)], include the square brackets and write a comma between 111(3)) and B1 (:10). For this question, you must use strict scientic calculator notation: multiplication is written * ,' for example, you must write 3 sin(3w) as 3*sin(3*x). e) Conclude that A103) lim cot(2z) sin(7a:) = lim = z>0 1>0 310-\") FORMATTING: Give the exact answer. a. L."