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- find if diverges or converges. if converges, then find its limit cos²(8n) An 8n-1The nth root of n! a. Show that lim,(2n7)/(2n) = 1 and hence, using Stirling's approximation (Chapter 8, Additional Exercise 52a), that Vn! - for large values of n. b. Test the approximation in part (a) for n = 40, 50, 60, ..., as far as your calculator will allow.0 < x <1 2 – x, 1