3. Let c be a number with c < 1 Show that c] can be expressed as c = where d > 0. Then use the Binomial Formula to show that led for every index n 4. Use the above problem to prove that if |c| < 1, then c→0. 5. Use the problem 3 to show that √nc →0.
3. Let c be a number with c < 1 Show that c] can be expressed as c = where d > 0. Then use the Binomial Formula to show that led for every index n 4. Use the above problem to prove that if |c| < 1, then c→0. 5. Use the problem 3 to show that √nc →0.
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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Solve number 5
![3. Let c be a number with c < 1 Show that [c] can be expressed as c = 1 where d > 0.
Then use the Binomial Formula to show that
end
for every index n
4. Use the above problem to prove that if |c| < 1, then c→0.
5. Use the problem 3 to show that √nc →0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89f06fcb-a461-4580-b866-76a69e450ea3%2F803b79ae-d5fd-4605-bdd2-c58943d6bb7a%2Fu3q6j96_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Let c be a number with c < 1 Show that [c] can be expressed as c = 1 where d > 0.
Then use the Binomial Formula to show that
end
for every index n
4. Use the above problem to prove that if |c| < 1, then c→0.
5. Use the problem 3 to show that √nc →0.
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