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11.9. Çàñòîñóâàííÿ äèôåðåíö³àëüíèõ ð³âíÿíü<br />
â åêîíîì³ö³ ................................................ 444<br />
11.9.1. Ìîäåëü Åâàíñà ........................................... 444<br />
11.9.2. Ìîäåëü äèíàì³êè ôîíä³â ............................ 446<br />
11.9.3. Ìîäåëü Ñîëîó ............................................ 448<br />
Âïðàâè .................................................................. 450<br />
ÒÅÌÀ 12. ÐßÄÈ<br />
12.1. ×èñëîâ³ ðÿäè ............................................. 451<br />
12.1.1. Ïîíÿòòÿ ÷èñëîâîãî ðÿäó............................. 451<br />
12.1.2. Íåîáõ³äíà óìîâà çá³æíîñò³ ðÿäó ................. 453<br />
12.2. Äîñòàòí³ îçíàêè çá³æíîñò³ ðÿä³â ç äîäàòíèìè<br />
÷ëåíàìè ....................................... 454<br />
12.2.1. Äîïîì³æíå òâåðäæåííÿ .............................. 454<br />
12.2.2. Îçíàêà ïîð³âíÿííÿ ðÿä³â ........................... 455<br />
12.2.3. Îçíàêà çá³æíîñò³ Äàëàìáåðà ....................... 456<br />
Âïðàâè .................................................................. 459<br />
12.3. Çíàêîïåðåì³æí³ ðÿäè ................................. 460<br />
12.4. Ïîíÿòòÿ ïðî àáñîëþòíî òà óìîâíî<br />
çá³æí³ ðÿäè ............................................... 461<br />
Âïðàâè .................................................................. 463<br />
12.5. Ïîíÿòòÿ ïðî ôóíêö³îíàëüí³ ðÿäè ............... 463<br />
12.5.1. Ñòåïåíåâ³ ðÿäè ........................................... 463<br />
12.5.2. ²íòåðâàë çá³æíîñò³ ñòåïåíåâîãî ðÿäó ........... 464<br />
12.5.3. Âèçíà÷åííÿ ðàä³óñà çá³æíîñò³ ñòåïåíåâîãî<br />
ðÿäó ............................................... 466<br />
Âïðàâè .................................................................. 468<br />
12.5.4. Âëàñòèâîñò³ ñòåïåíåâèõ ðÿä³â ..................... 468<br />
12.5.5. Ðîçêëàäàííÿ ôóíêö³é â ñòåïåíåâ³ ðÿäè<br />
Òåéëîðà ³ Ìàêëîðåíà ................................. 469<br />
12.5.6. Äîâåäåííÿ ôîðìóëè Åéëåðà ........................ 472<br />
12.6. Çàñòîñóâàííÿ ðÿä³â .................................... 474<br />
12.6.1. Çàñòîñóâàííÿ ðÿä³â äëÿ îá÷èñëåííÿ<br />
âèçíà÷åíèõ ³íòåãðàë³â ................................ 475<br />
12.6.2. Çàñòîñóâàííÿ ðÿä³â äëÿ ðîçâ’ÿçóâàííÿ<br />
äèôåðåíö³àëüíèõ ð³âíÿíü ............................ 475<br />
Âïðàâè .................................................................. 477<br />
ÄÎÄÀÒÎÊ 1. ÅËÅÌÅÍÒÀÐͲ <strong>²</strong>ÄÎÌÎÑÒ² ÏÐÎ ÊÎÌÏËÅÊÑͲ<br />
×ÈÑËÀ<br />
13.1. Ìíîæèíà êîìïëåêñíèõ ÷èñåë ..................... 479<br />
13.1.1. Ïîíÿòòÿ ïðî êîìïëåêñí³ ÷èñëà .................. 479<br />
13.1.2. Çîáðàæåííÿ êîìïëåêñíèõ ÷èñåë ................. 480<br />
13.1.3. ij¿ íàä êîìïëåêñíèìè ÷èñëàìè ................. 482<br />
13.1.4. Ðîçâ’ÿçóâàííÿ êâàäðàòíèõ ð³âíÿíü<br />
ç â³ä’ºìíèì äèñêðèì³íàíòîì ...................... 486<br />
Âïðàâè .................................................................. 487<br />
ÄÎÄÀÒÎÊ 2. ÎÑÍÎÂͲ ÔÎÐÌÓËÈ, ÏÎÇÍÀ×ÅÍÍß ÒÀ ÂÀÆ-<br />
ËÈ<strong>²</strong> ÑÒÀ˲<br />
14.1. Àðèôìåòèêà ............................................... 489<br />
14.2. Àëãåáðà..................................................... 490<br />
14.3. Òðèãîíîìåòð³ÿ ............................................ 495<br />
14.4. Åëåìåíòè âèùî¿ ìàòåìàòèêè ...................... 504<br />
14.5. Ãðàô³êè äåÿêèõ îñíîâíèõ åëåìåíòàðíèõ<br />
ôóíêö³é ..................................................... 508<br />
14.6. Îñíîâí³ ìàòåìàòè÷í³ ïîçíà÷åííÿ ................ 513<br />
14.7. Íàáëèæåíå çíà÷åííÿ äåÿêèõ ñòàëèõ ........... 516<br />
14.8. Êâàäðàòè íàòóðàëüíèõ ÷èñåë â³ä 1 äî 99 ... 516<br />
14.9. Êâàäðàòí³ ³ êóá³÷í³ êîðåí³ ......................... 517<br />
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