Suppose for a moment that the final digits of your student number are . abcd if it is a 4 digit number or . abcde if it is a 5 digit number. If YSN is a 4 digit number then consider the sequence (1+ a), (1+ a) +n (1+ a) + 1 =-(1+ a) + (1+b) + (1+b) (1+b)+ (1+0)+ 1 (1 + a) + (1 + a) +· p... (1+b)+- (1+e)+ (1+b)+- (1+c)+- (1+d)+. +(P+t) (1+a (1+a)+2 otherwise if YSN is a 5 digit number then consider the sequence 1 (1 + a), (1+ a) + n (1+ a) + (1+a)+ (1+b) (1+b)++e) (1+b)+- 1 1 (1+ a) + (1 + a) + - (1 + a) + (1+b)+- (1+b)+- (1+e)+- (1+e)+- (1+d)+. (1+d)+ (1+b)+- (1+d)+ (1+e)+- (1+a)+ Show that the sequence has a limit. You are also asked to find the exact value of the limit. For example, your professor's ID number is 0000005121. So, he will study the sequence 6, 6 +÷, 6+, 6 + 2+ .6 + 2+ 2+- 2+-
Suppose for a moment that the final digits of your student number are . abcd if it is a 4 digit number or . abcde if it is a 5 digit number. If YSN is a 4 digit number then consider the sequence (1+ a), (1+ a) +n (1+ a) + 1 =-(1+ a) + (1+b) + (1+b) (1+b)+ (1+0)+ 1 (1 + a) + (1 + a) +· p... (1+b)+- (1+e)+ (1+b)+- (1+c)+- (1+d)+. +(P+t) (1+a (1+a)+2 otherwise if YSN is a 5 digit number then consider the sequence 1 (1 + a), (1+ a) + n (1+ a) + (1+a)+ (1+b) (1+b)++e) (1+b)+- 1 1 (1+ a) + (1 + a) + - (1 + a) + (1+b)+- (1+b)+- (1+e)+- (1+e)+- (1+d)+. (1+d)+ (1+b)+- (1+d)+ (1+e)+- (1+a)+ Show that the sequence has a limit. You are also asked to find the exact value of the limit. For example, your professor's ID number is 0000005121. So, he will study the sequence 6, 6 +÷, 6+, 6 + 2+ .6 + 2+ 2+- 2+-
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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Transcribed Image Text:3. Suppose for a moment that the final digits of your student number are . abcd if it
is a 4 digit number or ... abcde if it is a 5 digit number. If YSN is a 4 digit number then
consider the sequence
1
1
,(1+ a) +
(1+b)
-,(1+ a) +
(1+b)+-
(1 + a), (1 + a) +
(1+b)+
(1+c)
(1+c)+
1
1
(1+ a) +
(1 + a) +
p...
(1+b)+-
(1+c)+-
(1+b)+-
(1+c)+-
(1+d)+.
(1+d)+-
(1+a)
(1+a)+
otherwise if YSN is a 5 digit number then consider the sequence
1
1
1
(1 + a), (1+ a)+
,(1+a) +
(1+b)
-, (1 + a) +
(1+b)+-
(1+b)+
(1+c)
(1+€)+d)
1
1
(1+ a) +
(1 + a) +
-, (1+ a) +
1
(1+b)+-
(1+b)+
1
(1+c)+-
(1+c)+-
(1+d)+
(1+d)+
(1+
(1+e)+
(1+a)
1
(1+b)+
(1+c)+
(1+d)+
(1+8)+
(1+a)+
(1+b)
Show that the sequence has a limit.
You are also asked to find the exact value of the limit.
For example, your professor's ID number is 0000005121. So, he will study the
1
sequence 6, 6+;, 6+
6+
2+-
6 +
2+-
2+
3+
2+
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