(1 point) 1) Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f(x) dx f(n). n=p 8 Recall that e = n=0 n! Suppose that for each positive integer k, f(k) = Find an upper bound B for B = e-2 f(x) dx. k! 2) A function is given by h(k) = 8 xexdx. Its values may be found in tables. Make the change of variables y = x ln(4) to express I = 0 C = 1/(In4)^6 x54x dx as a constant C times h(5). Find C. 3) Let g(x) = x54-*. Find the smallest number M such that the function g(x) is decreasing for all x > M. M = 5/In4 8 4) Does n 4-" converge or diverge? Converge n=1