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I. ࣻৌ ӓೠ
җ ೧ࢸ↟ Aଃ
01 ࠁӝ ࣻৌ ীࢲ ࣻ۴ೞח Ѫਸ ݽف 05 ࣻৌ {a«}ী ೞৈ lim na«=2ੌٸ ӓೠ
n ڦ
Ҏۄۄ 4n+1
ч lim
ࠁӝ n ⁄¶ n¤ a«
n+1 1 ˝ 1 ˞ 2 ˟ 3
Ŧ [ ] ũ [1+{ }n ]
4 2
ˠ 4 ˡ 5
1 2-'3
Ŭ [ ] Ů [{ }n ]
n¤ -100 2+'3
06 ١ରࣻৌ {a«} ૩೦ 2 ҕରо 3Ҋ
ࣻৌ {b«} ݽٚ োࣻ nী ೞৈ
ࠗ١धਸ ݅ೡ ٸ ӓೠч lim b«ਸҳೞ
n ڦ
ৈۄ
3n¤ -n+1 n+2<a«b«<n+3
02 ӓೠч lim (3-n)(2n+1) ਸ ҳೞৈۄ
n ڦ
x¤ -x
07 ࣻৌ [{ 2 }n ] ࣻ۴ೞӝ ਤೠ ࣻ x
ѐࣻח
03 ӓೠчਸ ҳೞৈۄ ˝ 2ѐ ˞ 3ѐ ˟ 4ѐ
̻ lim 'ßn('ƒn+2-'ßn) ˠ 5ѐ ˡ 6ѐ
n ڦ
'ƒn+1-'ßn
̼ lim
n ⁄¶ 'ƒn+2-'ßn
08 ࣻৌ {a«}ী ೞৈ ࠁӝীࢲ ০ Ѫਸ
ݽف Ҏۄۄ
ࠁӝ
¶
Ŧ ;N+! a« ࣻ۴ೞݶ lim a«=0
n ڦ
¶
ũ lim a«+0ݶ ;N+! a« ߊೠ
an¤ +bn+1 n ⁄¶
04 lim 2n+3 =2ੌ ٸ ࢚ࣻ a, b Ŭ {a«}ࣻ۴ೞݶ ;N+! a«ب ࣻ۴ೠ
¶
n ڦ
чਸ ҳೞৈۄ
I. ࣻৌ ӓೠ 39