2n2 - 1 (xn) where xn = has limit (a) Use the definition of limit to prove that the sequence X = n2 + n 2. n2 Cos 2n (b) Use the definition of limit to prove that the sequence X = (xn) where xn = n2 +4 has limit (1,0).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Basic Real Analysis 1- Answer a & b

2n2 – 1
has limit
(a) Use the definition of limit to prove that the sequence X = (xn) where xn
n² + n
2.
n²
Cos 2n
(b) Use the definition of limit to prove that the sequence X = (xn) where x, =
n² + 4
has limit (1,0).
Transcribed Image Text:2n2 – 1 has limit (a) Use the definition of limit to prove that the sequence X = (xn) where xn n² + n 2. n² Cos 2n (b) Use the definition of limit to prove that the sequence X = (xn) where x, = n² + 4 has limit (1,0).
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