cn²30n2Let c be a nonzero real number and a,Which one of the following statements is correct?3n +7Note: In the following, "the series" refers to the series an and "the sequence" refers to the sequence {an}.n-1Türkçe: c sıfırdan farklı bir reel sayı olsun ve a,30n2 – 3n + 7olsun. Aşağıdaki ifadelerden hangisi doğrudur?Not: Aşağıda "seri" kelimesi ile a, serisinden ve "dizi kelimesiyle de {a,} dizisinden bahsedilmektedir.n=1O The series converges if and only if c>30. (Seri yalnız ve yalnızca c> 30 olduğu zaman yakınsar).O The series diverges because the limit of the sequence is a nonzero real number. (Seri iraksar çünkü dizinin limitisıfırdan farklı bir reel sayıdır).O The series converges because the limit of the sequence exists. (Seri yakınsar çünkü dizinin limiti vardır).O The series diverges by the Ratio Test. (Oran Testi serinin ıraksak oluğunu söyler).O The series converges if and only if 30>c. (Seri yalnız ve yalnızca 30>c olduğu zaman yakınsar).O The series diverges because the limit of the sequence does not exist. (Seri iraksar çünkü dizinin limiti yoktur). If the interval of convergence of the power series*(-1)"(z – c)"4 In nis (k, 17 for some k, then find c.*(-1)"(* – c)*4 In nTürkçe: Eğerkuvvet serisinin yakınsama7-2aralığı bir k sayısı için (k, 17] şeklinde ise, c değerini bulunuz.O 8,50O 6,25O -5,00O 13,00-0,50O 7,00PRO

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Let c be a nonzero real number and a, cn² 30n2 Which one of the following statements is correct? 3n +7 Note: In the following, "the series" refers to the series a, and "the sequence" refers to the sequence {an}. n-1

Let c be a nonzero real number and a, cn² 30n2 Which one of the following statements is correct? 3n +7 Note: In the following, "the series" refers to the series a, and "the sequence" refers to the sequence {an}. n-1

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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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Topic Video

Question

cn²
30n2
Let c be a nonzero real number and a,
Which one of the following statements is correct?
3n +7
Note: In the following, "the series" refers to the series an and "the sequence" refers to the sequence {an}.
n-1
Türkçe: c sıfırdan farklı bir reel sayı olsun ve a,
30n2 – 3n + 7
olsun. Aşağıdaki ifadelerden hangisi doğrudur?
Not: Aşağıda "seri" kelimesi ile a, serisinden ve "dizi kelimesiyle de {a,} dizisinden bahsedilmektedir.
n=1
O The series converges if and only if c>30. (Seri yalnız ve yalnızca c> 30 olduğu zaman yakınsar).
O The series diverges because the limit of the sequence is a nonzero real number. (Seri iraksar çünkü dizinin limiti
sıfırdan farklı bir reel sayıdır).
O The series converges because the limit of the sequence exists. (Seri yakınsar çünkü dizinin limiti vardır).
O The series diverges by the Ratio Test. (Oran Testi serinin ıraksak oluğunu söyler).
O The series converges if and only if 30>c. (Seri yalnız ve yalnızca 30>c olduğu zaman yakınsar).
O The series diverges because the limit of the sequence does not exist. (Seri iraksar çünkü dizinin limiti yoktur).

If the interval of convergence of the power series
*(-1)"(z – c)"
4 In n
is (k, 17 for some k, then find c.
*(-1)"(* – c)*
4 In n
Türkçe: Eğer
kuvvet serisinin yakınsama
7-2
aralığı bir k sayısı için (k, 17] şeklinde ise, c değerini bulunuz.
O 8,50
O 6,25
O -5,00
O 13,00
-0,50
O 7,00
PRO

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