a) >(-1)"+1. 2n n=1 serisinin tipi nedir? Yakınsak mıdır? Mutlak yakınsak mıdır? Gösteriniz. 00 1 2k k=0 3k serisinin tipini belirleyip değerini bulunuz n! c) 10" n=1 serisinin yakınsaklığını inceleyiniz.

a) >(-1)"+1. 2n n=1 serisinin tipi nedir? Yakınsak mıdır? Mutlak yakınsak mıdır? Gösteriniz. 00 1 2k k=0 3k serisinin tipini belirleyip değerini bulunuz n! c) 10" n=1 serisinin yakınsaklığını inceleyiniz.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 35E: Prove by the indirect method: Given: MPN is not isosceles Prove: PMPN

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Question

Question 1)

a) What type of series is it? Are we close? Is it absolutely convergent? Show me.

b) Determine the type of the series and find its value

c) Examine the convergence of the series.

Question 2)

a) Whether it is monotonous and limited

b) Examine its convergence.

Question 3) ?

Question 4 ) Draw the region between the y = curve and the x-axis and calculate its area.

Question 5) For which values of p does the integral converge or diverge? Show me.

Question 6) Find the volume of the solid formed by rotating the region bounded by the y = -x2 + 3x curve and the y = x line around the y = -1 line. (Draw the region)

Question Bonus) ?

Sorul.
n!
a) (-1)*1,
2n
n=1
serisinin tipi nedir? Yakınsak mıdır? Mutlak yakınsak mıdır? Gösteriniz.
1
ΣΗ.
b)
[2k' 3k
k=0
serisinin tipini belirleyip değerini bulunuz
00
n!
c)
107
n=1
serisinin yakınsaklığını inceleyiniz.
nan
(n+1)
a)Monoton ve sınırlı olup olmadığını
b)Yakınsaklığını inceleyiniz.
Soru2. a, = -2, an+1 =
olan dizinin
Soru3
In
dx =?
-2

1
Soru4. y =
x2+1
eğrisi ile x ekseni arasında kalan bölgeyi çizip alanını hesaplayınız.
Soru5. p E R, a > 0 olmak üzere
00
dx
xP
a
integralinde p'nin hangi değerleri için yakınsak, hangi değerleri için ıraksaktır? Gösteriniz.
Soru6. y = -x² + 3x eğrisi ve y = x doğrusu tarafından sınırlanan bölgenin y = -1
doğrusu etrafında döndürülmesiyle oluşan cismin hacmini bulunuz.(Bölgeyi çiziniz)
Bonus:
i-月
4.
dx =?
-2

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