Problem 1RCC: (a) What is a convergent sequence? (b) What is a convergent series? (c) What does limn an = 3 mean?... Problem 2RCC Problem 3RCC Problem 4RCC Problem 5RCC Problem 6RCC Problem 7RCC Problem 8RCC Problem 9RCC Problem 10RCC Problem 11RCC Problem 12RCC Problem 1RQ Problem 2RQ Problem 3RQ Problem 4RQ Problem 5RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 6RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 7RQ Problem 8RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 9RQ Problem 10RQ Problem 11RQ Problem 12RQ Problem 13RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 14RQ Problem 15RQ Problem 16RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 17RQ Problem 18RQ Problem 19RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 20RQ Problem 21RQ Problem 22RQ Problem 1RE Problem 2RE Problem 3RE Problem 4RE Problem 5RE Problem 6RE Problem 7RE Problem 8RE Problem 9RE Problem 10RE Problem 11RE Problem 12RE Problem 13RE Problem 14RE Problem 15RE Problem 16RE Problem 17RE Problem 18RE Problem 19RE Problem 20RE Problem 21RE Problem 22RE Problem 23RE Problem 24RE Problem 25RE Problem 26RE Problem 27RE Problem 28RE Problem 29RE Problem 30RE Problem 31RE Problem 32RE Problem 33RE Problem 34RE Problem 35RE Problem 36RE Problem 37RE Problem 38RE Problem 39RE Problem 40RE Problem 41RE Problem 42RE Problem 43RE Problem 44RE Problem 45RE: Find the Taylor series of f(x) = sin x at a = /6. Problem 46RE Problem 47RE Problem 48RE Problem 49RE Problem 50RE Problem 51RE Problem 52RE Problem 53RE Problem 54RE Problem 55RE Problem 56RE Problem 57RE Problem 58RE Problem 59RE Problem 60RE Problem 61RE Problem 62RE Problem 1P: If f(x) = sin(x3), find f(15)(0). Problem 2P: A function f is defined by f(x)=limnx2n1x2n+1 Where is f continuous? Problem 3P Problem 4P: Let {Pn} be a sequence of points determined as in the figure. Thus |AP1| = 1, |PnPn+1| = 2n1, and... Problem 5P: To construct the snowflake curve, start with an equilateral triangle with sides of length 1. Step 1... Problem 6P: Find the sum of the series 1+12+13+14+16+18+19+112+ where the terms are the reciprocals of the... Problem 7P Problem 8P Problem 9P Problem 10P Problem 11P: Find the interval of convergence of n=1n3xn and find its sum. Problem 12P: Suppose you have a large supply of books, all the same size, and you stack them at the edge of a... Problem 13P Problem 14P: If p 1. evaluate the expression 1+12P+13P+14P+112P+13P14P+ Problem 15P: Suppose that circles of equal diameter are packed tightly in n rows inside an equilateral triangle.... Problem 16P Problem 17P: If the curve y = ex/10 sin x, x 0, is rotated about the x-axis, the resulting solid looks like an... Problem 18P: Starting with the vertices P1(0, 1), P2(1, 1), P3(1, 0), P4(0, 0) of a square, we construct further... Problem 19P Problem 20P Problem 21P Problem 22P: Right-angled triangles are constructed as in the figure. Each triangle has height 1 and its base is... Problem 23P Problem 24P: (a) Show that the Maclaurin series of the function f(x)=x1xx2isn=1fnxn (b) where fn is the nth... Problem 25P: Let u=1+x33!+x66!+x99!+v=x+x44!+x77!+x1010!+w=x22!+x55!+x88!+ Show that u3 + v3 + w3 3uvw = 1. Problem 26P: Prove that if n 1, the nth partial sum of the harmonic series is not an integer. Hint: Let 2k be... format_list_bulleted