Transcription of Chapter 1 Sequences and Series - BS Publications
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Chapter 1 Sequences and Series - BS Publications
Sequences and Series Convergence of Infinite Series Tests of Convergence P- Series Test Comparison Tests Ratio test Raabe s test Cauchy s Root test Integral test Leibnitz s test Absolute Convergence Conditional convergence Power Series and Interval of convergence Summary of all Tests Solved University Questions (JNTU) Objective type of Questions Chapter 1 Sequences and Series Engineering Mathematics - I 2 sequence A function f:N S, where S is any nonempty set is called a sequence , for each n N, a unique element f(n) S.
Engineering Mathematics - I 4 From the above figure (see also table) it can be seen that m = –2 and M = 3 2. ∴ The sequence is bounded. 1.1.3 Limits of a Sequence A Sequence <>an is said to tend to limit ‘l’ when, given any + ve number '',∈ however small, we can always find an integer ‘m’ such that al nmn − <∈∀ ≥, , and we write n n
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