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A function f is defined on the set N of natural numbers by f(0) = 2, f(2) = 5 and f(n) = 2 f(n - 1) + 3 f(n - 2) + f(n - 3) for all n' 3. Find f(4).

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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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

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A function f is defined on the set N of natural numbers by
f(0) = 2, f(2) = 5 and f(n) = 2 f(n - 1) + 3 f(n - 2) + f(n - 3) for all n 3. Find f(4).
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