Granica ciągu o wyrazie ogólnym zadania

Oblicz granicę ciągu o wyrazie ogólnym

(i)o. =1+-

(3) a. =| 11+—Y13--J

<10)a. (13) a,

(16)47,

(19)0. (22) a„ (25) _o_ (2 8)0. (31)o. <³⁴K (37) a. (40) a„ (43) _a<

(45) a.

(48)

(51) o, . (54) a, = (57) _a. . (60) a _n

(62)0. («5) a =

(2)_a =■

2n + :

2f 0, ^!i^200*;J	(5)a„	8-- n	(6)a,=JiL 2+- n 1
		2 + — n
.f,4f		( i V	on —
	(8)a„	.i-i	(9)47, =-2-
l oj		l 2nJ	2n — n
2/7 + 5	(ll)o	6/7^! - 2/i	n' (12)a, =--
3* oc		2/i‘+l	/7 — 1

(15)47,

2n^} -5/7+4 3n⁵ + 2 n~ + n +1 5

2«-4

/?³ -2/7 + 8

/7³ -8

(n-2)²

(" + 2 y

(n-2Y(n ₊ 3)¹

In*

■Jln + >/3n + n

(l*)o. (21)0. =

8/7-3

1 + 2/7

V/7^:

= 2-

•J9n

3/7 + 4 1 - n

= 5’

2’-i V

2'-4* ~ 4'+2'

= V*

= 7-V5-12*

»3 + 2n^! - 5/i'

/»(« + !)!

" (n + 2)!

_ (/? + l)(/7 + 2)! (*!)^:

3«-12

(24) _a

n-2

Vn^J +5/1 + 12

2 + 2"

(27) a. (30) _u< (33)0. (36) a, (39) _0< , (42) a :

+3 +/i + l 1

2-Sn 2 + 73/7

2/7 + 4

5

₌r2005Y

“UoOóJ

^{= <}7"

ą-2²”’-!

' 5-4**‘ +3

= vTo

, = Vr+3*

= V2-3’+5-8"

(44)_a, =V5-12 (47) _a.

(58) a, = *^2/7+3

(2« + 2)!-(2n)!

(6i)o„ =---—^L

(2/7 + 2)!+(2/z)!

(63) o =f|₊iT

(66) a =f—f

V « J

(50) a,

(53) a. (56)0. (59) a.

= V5*+6”+7-= ó 4n + 3 + 2^

=    - v 2/7 + 5

= V/7³ + /7 + 1

= 3”+5*-15*

(64)a_>=fl +

(67)47, =

/» - ²)"