By the alternating series test, the series * 20 – 1)*+1 - converges. Find its sum. k=1 kk + 6) First find the partial fraction decomposition of 2 k(k + 6) 2 k(k + 6) = 1/3(1/4-1/k+ Preview Then find the limit of the partial sums. © 21 – 1)*+1 111/1 * Preview - k(k+6) Enter your answer for the sum as a reduced fraction. 111 – 0.3)* is an alternating geometric series, k=0 which O converges O divergesv. 111 – 0.3)* = k=0 Preview Enter DNE for "does not exist" if the series diverges. Suppose that "go+1 – 1 as n + 00. Find the radius of convergence. I am 4n n1 Find all the values of x such that the given series would converge. xn n=1 (10)" (Vm+ 8) , left end The series is convergent from x = 0 Preview included (enter Y or N): 0 to x = 0 Preview included (enter Y or N): O , right end

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.