Leo can only take in Positive Integers If the number is odd, Leo will add 1 to it • If the number is even, Leo will divide it by 2 Note that if the number is 1, Leo will still add 1 to it. Let L (n, z) represent number Leo outputs if we start with the number n and use Leo z times. For example L (13, 2) would represent if we started with the number 13 and used Leo twice; 13 14 →7 so L (13, 2) = 7. Evaluate the following limit lim, L(n, z) 1 Does not exist since n is not defined Does not exist since the value keeps going between 2 different numbers not defined Does not exist since n is not Positive Infinity 0 2 Does not exist since the value keeps going between 2 different numbers 2 Positive Infinity
Leo can only take in Positive Integers If the number is odd, Leo will add 1 to it • If the number is even, Leo will divide it by 2 Note that if the number is 1, Leo will still add 1 to it. Let L (n, z) represent number Leo outputs if we start with the number n and use Leo z times. For example L (13, 2) would represent if we started with the number 13 and used Leo twice; 13 14 →7 so L (13, 2) = 7. Evaluate the following limit lim, L(n, z) 1 Does not exist since n is not defined Does not exist since the value keeps going between 2 different numbers not defined Does not exist since n is not Positive Infinity 0 2 Does not exist since the value keeps going between 2 different numbers 2 Positive Infinity
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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