MATH 2B Study Guide - Final Guide: Cubic Function, Limit Comparison Test, Direct Comparison Test
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MATH 2B Full Course Notes
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What are series? k=1 ak = a1 + a2 + a3 + . This question is the series convergence check. The nth partial sum is the sum of first n terms. A series converges if lim n bn is a number. Day 1: you eat of the cake = a1. Day 2: you eat half of the remaining half, which is of the cake = a2. Day 3: you eat half of the remaining half, which is of the cake = a3. Day 4: repeat; 1/16 of the cake = a4. Check after finite amount of days using an. Total cake eaten is partial sum d1 = 1 d2 = 1 + 1 = 3. If an = a1 r n 1. , let"s see what n k=1 a1 r k 1 = n bn = k=1 a1 r k 1 = a1 + a1 + a1 r r.
