True/False 9. A series is convergent if the limit of its terms is zero. If E an and E bn are convergent series, then E anbn is also convergent. 10. 1. If a given series converges and each term is positive, then the square of the series also converges. 12. If a series is convergent, then its reciprocal series is always divergent. lim ſ' e bx cos x dx exists only when b < 0. 13. dt converges. 14. There is no value of r such that Jo (3t)-r 32+ In y, is a linear differential equation. Vx²-1 ух dy The equation, 15. dx

True/False 9. A series is convergent if the limit of its terms is zero. If E an and E bn are convergent series, then E anbn is also convergent. 10. 1. If a given series converges and each term is positive, then the square of the series also converges. 12. If a series is convergent, then its reciprocal series is always divergent. lim ſ' e bx cos x dx exists only when b < 0. 13. dt converges. 14. There is no value of r such that Jo (3t)-r 32+ In y, is a linear differential equation. Vx²-1 ух dy The equation, 15. dx

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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Question

Please do all of them I am trying to study for a Final.

True/False
9.
A series is convergent if the limit of its terms is zero.
If E an
and E bn are convergent series, then E anbn is also convergent.
10.
1.
If a given series converges and each term is positive, then the square of the series also converges.
12.
If a series is convergent, then its reciprocal series is always divergent.
lim ſ' e
bx cos x dx exists only when b < 0.
13.
dt converges.
14.
There is no value of r such that Jo (3t)-r
32+ In y, is a linear differential equation.
Vx²-1
ух
dy
The equation,
15.
dx

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