Consider the n-term sum 4 4n (#). R = 17 + 1 = ( 2 ) + + 1 = ( 1 ) + + 7+ / - (4) Rn 7+ - n (#) 8 7+ n n n (a) For every positive integer n, find b and f(x) such that (4) = 7 and R is a right Riemann sum for the definite in- tegral L f(x)dx. b = f(x) = (b) For every positive integer n, find c and g(x) such that g(7) = 7 and R is a right Riemann sum for the definite in- tegral C g(x)dx. , 8( C = g(x) = Evaluate L= lim Rn. L= n