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that you you used to det divergence. 3 n (1). E n5+3 n=1 (1). Σ n 2" n=1

that you you used to det divergence. 3 n (1). E n5+3 n=1 (1). Σ n 2" n=1

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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09:27 82 (a). Determine whether the series is convergent or divergent. Write the test that you used to determine convergence or divergence. (1). n5+3 n=1 (1). Σ n 2n n=1 n!(n+1)! (Зп)! (ii). n=1 (-1)"(n+1) (iv). n2 –3 n=1 1 1 (b). Is the integral dx an x2 -1 improper integral ? 1 Evaluate the integral dx. x2 -1 From calculation, both limits + to and so the integral II
Transcribed Image Text:09:27 82 (a). Determine whether the series is convergent or divergent. Write the test that you used to determine convergence or divergence. (1). n5+3 n=1 (1). Σ n 2n n=1 n!(n+1)! (Зп)! (ii). n=1 (-1)"(n+1) (iv). n2 –3 n=1 1 1 (b). Is the integral dx an x2 -1 improper integral ? 1 Evaluate the integral dx. x2 -1 From calculation, both limits + to and so the integral II
09:27 82 and so the integral (c). Evaluate the following integral x+1 -dx x² (x-1) -2ln +++2ln +C (d). Determine the value of the constants A, B, Cand D in the rational function below. 3x-5 В (1). = A+ A= x-1 x-1 B= 5х+13 A (ii). (2x+1)(x+4) 2z+1 + A= x+4 ,B= (ii). 3x3+2x2 – 3x+8 Ax? + Bx +C x+2 A=
Transcribed Image Text:09:27 82 and so the integral (c). Evaluate the following integral x+1 -dx x² (x-1) -2ln +++2ln +C (d). Determine the value of the constants A, B, Cand D in the rational function below. 3x-5 В (1). = A+ A= x-1 x-1 B= 5х+13 A (ii). (2x+1)(x+4) 2z+1 + A= x+4 ,B= (ii). 3x3+2x2 – 3x+8 Ax? + Bx +C x+2 A=
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