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_ ࠙ ױਗ QT 1. ಕ ."$
2 ࣻৌ ӓೠч ҅
ࣻৌ ӓೠী ೠ ࢿਸ ೧ೞҊ ܳ ਊೞৈ ӓೠчਸ ҳೡ
ࣻ
ইܰఃݫؘझ Archimedes ; B.C. 287~B.C.
212 ח ਗ لۨ ӡо ਗী ղೞח пഋ
لۨ ӡ৬ ਗী ৻ೞח пഋ لۨ ӡ
ࢎী ਸ Ѫਵ۽ ࢤпೞҊ ܳ ਊೞৈ 96п
ഋੌ ٸ 3.140y<p<3.142yܳ ٸ пഋ ߸ ࣻܳ ޖೠ ѱ ೞ
ݶ p যܿчਸ ҳೡ ࣻ
ࣻৌ ӓೠী ೠ ࢿ
ѐ ֛ ৌ ӝ فࣻৌ
{a«}: 1.1, 1.01, 1.001, 1.0001, y
{b«}: 2.1, 2.01, 2.001, 2.0001, y
ী ೞৈ ޛী ೞৈۄ
1 lim a«, lim b«ਸ ҳೞҊ lim a«+ lim b«ਸ ҳೞৈۄ
n ڦ n ڦ n ڦ n ڦ
2 {a«}, {b«} п ೦ਸ ؊ೞৈ ݅ٚ ࣻৌ {a«+b«}ী ೞৈ lim (a«+b«)ਸ
n ڦ
ҳೞҊ 1 Ѿҗ৬ ࠺Үೞৈۄ
ਤ ѐ֛ ৌӝীࢲ lim a«=1, lim b«=2۽
n ڦ n ڦ
lim a«+ lim b«=1+2=3 yy`˝
n ڦ n ڦ
Ҋ ࣻৌ {a«+b«}
3.2, 3.02, 3.002, 3.0002, y
۽
lim (a«+b«)=3 yy`˞
n ڦ
ٮۄࢲ ˝ ˞۽ࠗఠ ਸ ঌ ࣻ
lim (a«+b«)= lim a«+ lim b«
n ڦ n ڦ n ڦ
ࣻৌ ӓೠ 15
