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2. Find the formula of the general n th term . (i) (1,3,5,7,.) (1 2 3 4 (ii) 2 3 45" 11 (iii) 48 16' ...

2. Find the formula of the general n th term . (i) (1,3,5,7,.) (1 2 3 4 (ii) 2 3 45" 11 (iii) 48 16' ...

Advanced Engineering Mathematics
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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2. Find the formula of the general n th term (i) (1,3,5,7..) (1 2 3 4 (ii) 2 3 4'5 11 (iii) 16 3. Which of the following sequences are bounded: (i) (4) (ii) (n+) (iii) (1- ) (iv) () n+. 4. Use the definition of the limit of a sequence to show that: 2n -1 (i) lim (ii) lim(Vn+2- Vn+1) = 0 3n +1 3 (iii) lim 2n +5 (iv) lim n +1
Transcribed Image Text:2. Find the formula of the general n th term (i) (1,3,5,7..) (1 2 3 4 (ii) 2 3 4'5 11 (iii) 16 3. Which of the following sequences are bounded: (i) (4) (ii) (n+) (iii) (1- ) (iv) () n+. 4. Use the definition of the limit of a sequence to show that: 2n -1 (i) lim (ii) lim(Vn+2- Vn+1) = 0 3n +1 3 (iii) lim 2n +5 (iv) lim n +1
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