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.

Transcribed Image Text: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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