6. Given the following sequenvces in R: {yn}1 = {(-1;1); (1; – 1);(-1;1);(1; –1)·.} 27 (a) Write out the nth vector of each sequence. (b) By referring to the properties of sequences in multiple dimensions, either evaluate the following or state why you cannot. i. limnXn + limn→∞Yn ii. limn+05x, – limnZn

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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6. Given the following sequenvces in R²:
{x,}1 =
{yn}1
= {(-1; 1) ; (1; -1);(-1;1);(1;-1)...}
);
..
(a) Write
out
the
nth
vector
of
each
sequence.
(b) By referring to the properties of sequences in multiple dimensions, either evaluate the
following or state why you cannot.
i. limnXn +limn→∞Yn
ii. limn-+05xn – limn→Zn
Transcribed Image Text:6. Given the following sequenvces in R²: {x,}1 = {yn}1 = {(-1; 1) ; (1; -1);(-1;1);(1;-1)...} ); .. (a) Write out the nth vector of each sequence. (b) By referring to the properties of sequences in multiple dimensions, either evaluate the following or state why you cannot. i. limnXn +limn→∞Yn ii. limn-+05xn – limn→Zn
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