We want to compute the limit below with I'Hospital's Rule lim cot(7x) sin(4x) a) What is the indeterminate type of this limit? 1 0 * 00 0 00 - 00 0 0 0 0 100 b) To be able to use I'Hospital's Rule, we rewrite the limits in terms of cosine and sine functions only, to get lim cot(7x) sin(4x) = lim A(ac) x-+0 x-0 B(x) where [ A(a), B(a)] = [sin(4*x), tan(7*x)] FORMATTING: Enter your answer as [A(a), B(x)], 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(3x) as 3*sin(3*x). A(x) c) What is the indeterminate type of the limit lim found in (b)? x-0 Ba 1 00 - 0o d) According to I'Hospital's Rule, A(ac A1 (a) lim - lim x-0 Bj(x) for [ Aj (a), B1 (2)] = [4*cos(4*x), 7*sec(7*x)^2]