This is the question regarding series.

University of Calgary

Math 267

Assignment 4

Department of Mathematics and Statistics MATH 267 - Assignment 4 Due Monday December 02, 2019 at 05:00 PM Attempt All Questions. Note:Only few Parts of each Question will be graded. 1. Determine whether the given sequence Converges or Diverges. If the sequence converges , find its Limit. (a) {n-can ( # ) } . (b) { Jn' + 4n +5 -m}. 2. Determine whether the given sequence is Increasing or Decreasing using the Specified Test : (a) { In+5) 1 ; Difference Test (b) [20)! ; Quotient Test 3. Determine whether the given series Converges or Diverges. by applying the Specified Test : Root Test (b) sin (2n) non Comparison Test 4. Test for convergence each of the following series : ( a) Fee elten (b ) 2 (2n)! (n!) 2 5. (a) The sequence {an)", is defined recursively by : an = 7 , am = $3as +4 , n = 1,2,3,.. Assuming the sequence converges to the real number _, find _ (b) Show that the geometric series E3 (2) converges and determine its sum