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Rozdział Ciągi i szeregi

4.103. a_n

4.106.    a_n

4.107.    a_n

4.108.    a_n

4.109.    a_n

4.110.    a_n -

4.111.    a_n =

4.112.    a_n =

4.113.    a_n =

4.114.    a_n =

4.104.

4.105.

= ((l)ⁿ+(r+(i)ⁿ)sin(2n).

= ((r+(f)ⁿ + (M)ⁿ)cos(n!).

= —~+s"⁺ⁿ y/5ⁿ + 6ⁿ + 7ⁿ.

- arc tg v V9n² + 2n - 3n. arc tg ^6 - v^/5-v^/5-^5--- ²\/5

WWi ~ ^n³ -n² + 1.

2ⁿ-3²ⁿ

„    _ ln(3ⁿ+6ⁿ+2ⁿ) , arct_Rr,

-    -ń- + ““

^an = ((5)ⁿ + (|)ⁿ) ^arctS'

4.H5.    ₌

Zbadać zbieżność szeregów:

oo

4-¹¹⁶- E df2-    4.124.

OO

4-117. E

n=l

oo

4.H8. E

n=l

oo

⁴*^119, ^

n=l

oo

4.120.    E ^sin(-»ⁿ⁺¹⁾

z—' n^z—n n=2

oo ₉

4.121.    E

n=l oo „

4-122. E

00

4.131. V ^-5^nl

“ n+l n=l

4.125.

4.126.

4.127.

4.128.

4.129.

oo

n=l

n!2ⁿ •

4n—1

oo /

E 2^

n=l ^x /

E^ In (1 + 1)

OO

2n²+3

40    1 ‘

4.132.    V Mgⁱⁿ.ⁿ..i

^z—'    n²

n=l

4.133.    E y+T⁷

„ti "³⁺V

OO

4.134.    Y lĄⁿ(ⁿ:

n⁴3ⁿ⁴

n=l ⁰⁰    3

4.135.    T

40 3ⁿ+2' n=l

00

4-136. E

n= 1

4.137. Y

Zr', 2n^:}

4.123. p loi

Z—/ _n3 n=l

4.130.

⁰⁰ /    \ •

V (3±2nV ^ U+3 n j n=l '    /

00

4.138. ^ sin

n=l