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_ ࠙ ױਗ QT 1. ಕ ."$
ࣻৌ ӓೠ ࣗ ҙ҅
ࣻ۴ೞח ࣻৌ ӓೠ ࣗ ҙ҅ী ೞৈ җ э ࢿ ࢿ݀ೠ
ࣻৌ ӓೠ ࣗ ҙ҅
ࣻ۴ೞח ف ࣻৌ {a«}, {b«}ী ೞৈ lim a«=a, lim b«=b a, bחपࣻ
n ڦ n ڦ
ੌٸ
⇡ ݽٚ োࣻ nীೞৈ a«…b«ݶ
lim a«… lim b« a…b
n ڦ n ڦ
⇢ ࣻৌ {c«}ݽٚোࣻ nীೞৈ a«…c«…b«Ҋ a=bݶ
lim c«=a
n ڦ
⇡ীࢲ ݽٚ োࣻ nী ೞৈ a«<b«݅ ف ࣻৌ ӓೠч э ҃
1 2
lim a«= lim b«ੋ ҃о ܳ ٜয a«= , b«= ݶ ݽٚ োࣻ nী
n ڦ n ڦ n n
ೞৈ a«<b«݅ lim a«= lim b«=0
n ڦ n ڦ
ӓೠ ࣗ ҙ҅ܳ ਊೞৈ ӓೠч ҳೞӝ
022
ઁ ࣻৌ {a«} ݽٚ োࣻ nী ೞৈ
2n¤ …a«… 2n¤ +n
n¤ +1 n¤ +1
ਸ ݅ೡ ٸ ӓೠч lim a«ਸ ҳೞৈۄ
n ڦ
2n¤ 2n¤ +n
ಽ lim =2, lim =2۽
n ⁄¶ n¤ +1 n ⁄¶ n¤ +1
ࣻৌ ӓೠ ࣗ ҙ҅ ⇢ী ೞৈ
lim a«=2
n ڦ
2
03
]ޙઁ] ࣻৌ {a«} ݽٚ োࣻ nী ೞৈ
3n¤ -2n+1…n¤ a«…3n¤ +n+2
ܳ ݅ೡ ٸ ӓೠч lim a«ਸ ҳೞৈۄ
n ڦ
18 I. ࣻৌ ӓೠ