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2. (a) Evaluate 7n+1 +2" i. lim N; n-00 7" – 2n | ii. lim Vn2 + 3n – Vn2 – 3n |, n € N, n > 3. n-00

2. (a) Evaluate 7n+1 +2" i. lim N; n-00 7" – 2n | ii. lim Vn2 + 3n – Vn2 – 3n |, n € N, n > 3. n-00

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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(a) Evaluate 7n+1 +2" i. lim ne N; n00 7n – 2n ii. lim Vn2 + 3n – Vn2 – 3n, ne N, n2 3. n E N, n+00 (b) Given that f(x,y) = x² sin(x+ y), af af i. Find and af ii. Hence or otherwise, show that r: = r+2 tan(x + y) af ay (c) Test for convergence or divergence for each improper integral: cos I dx; roo dx dr. x + e* i. ii. 2.
Transcribed Image Text:(a) Evaluate 7n+1 +2" i. lim ne N; n00 7n – 2n ii. lim Vn2 + 3n – Vn2 – 3n, ne N, n2 3. n E N, n+00 (b) Given that f(x,y) = x² sin(x+ y), af af i. Find and af ii. Hence or otherwise, show that r: = r+2 tan(x + y) af ay (c) Test for convergence or divergence for each improper integral: cos I dx; roo dx dr. x + e* i. ii. 2.
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