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1Àå ¹«Çѱ޼ö․¾çÇ×±Þ¼ö
1. ¹«Çѱ޼ö
2. ¾çÇ×±Þ¼ö ÆÇÁ¤¹ý
2Àå ±³Ç×±Þ¼ö․¸è±Þ¼ö
1. ±³´ë(±³Ç×)±Þ¼ö
2. ¸è±Þ¼ö
3Àå TaylorÀÇ Á¤¸®․ÇÔ¼öÀÇ Àü°³
1. Taylor ±Þ¼ö
2. Maclaurin ±Þ¼ö
3. ¸è±Þ¼öÀÇ ÀÀ¿ë
¹«Çѱ޼ö Á¦ 1 Àå ¹«Çѱ޼ö¾çÇ×±Þ¼ö
¡×1.¹«Çѱ޼ö
(1) ¹«Çѱ޼öºÎºÐÇÕ
¹«ÇѼö¿ÀÇ ÇÕÀ» ¹«Çѱ޼ö¶óÇÏ°í sumfromn1to¡ï a n
À¸·Î ³ªÅ¸³½´Ù.
¹«Çѱ޼ö¿¡¼ ùÇ׺ÎÅÍ Á¦ nÇ× ±îÁöÀÇ ÇÕ s n sumfromk1ton a k
À» ÀÌ ±Þ¼öÀÇ ºÎºÐÇÕÀ̶ó°í ÇÑ´Ù.
(2) ¹«Çѱ޼öÀÇ ¼ö·Å¹ß»ê
¨çsumfromn1to¡ï a n
ÀÌ a¿¡ ¼ö·Å ¢¢limfromn¡æ¡Ä`s n``limfromn¡æ¡Äsumfromk1ton a k``a
¹«Çѱ޼öÀÇ ÇÕÀº a ¨è ¹«Çѱ޼ö sumfromn1to¡ï a n ÀÌ ¼ö·ÅÇϸé, limfromn¡æ¡Ä a n``0 ( ¿ªÀº ¼º¸³ÇÏÁö ¾Ê´Â´Ù )
(3) ¹«Çѵîºñ±Þ¼ö
µîºñ¼ö¿ÀÌ ¹«Çѱ޼ö¸¦ ÀÌ·ê ¶§, r < 1 ÀÏ ¶§ ¼ö·ÅÇϸç ÇÕÀÌ a over 1-r ÀÌ°í,
r 1 ÀÏ ¶§ ¹ß»êÇÏ°Ô µÈ´Ù.
¡×2.¾çÇ×±Þ¼ö ÆÇÁ¤¹ý
±Þ¼ö¸¦ ÀÌ·ç´Â °¢Ç×ÀÌ ¸ðµÎ ¾ç¼öÀÎ ±Þ¼ö¸¦ ¾çÇ×±Þ¼ö¶ó Çϸç, ¾çÇ×±Þ¼ö°¡ ¼ö·ÅÇϱâ À§ÇÑ ÇÊ¿äÃæºÐÁ¶°ÇÀº ºÎºÐÇÕÀÌ À¯°èÇÑ °ÍÀÌ´Ù.
(1) nÇ× ÆÇÁ¤¹ý
±Þ¼ö¸¦ ÀÌ·ç´Â ÀϹÝÇ×ÀÇ ±ØÇÑ°ªÀÌ 0ÀÌ ¾Æ´Ï¸é ±× ±Þ¼ö´Â ¹ß»êÇÑ´Ù
(2) ÀûºÐÆÇÁ¤¹ý (integral test)
¾çÇ×±Þ¼ö sumfromn1to¡Ä a n ¿¡ ´ëÇÏ¿©, ÇÔ¼öf(x)
°¡ [1,¡Ä)¿¡¼ ¿¬¼ÓÀÌ°í ´ÜÁ¶°¨¼ÒÀÎ ¾çÀÇ ÇÔ¼öÀ̸ç, f(n) a n
(n¡Ã1) À̶ó ÇÒ ¶§, ÀÌ»óÀûºÐ integral from1to¡Ä f(x) dx
ÀÌ Á¸ÀçÇÏ¸é ±Þ¼ö´Â ¼ö·ÅÇÏ°í, Á¸ÀçÇÏÁö ¾ÊÀ¸¸é ±Þ¼öµµ ¹ß»êÇÑ´Ù.
¡Ølog ¸¦ Æ÷ÇÔÇÑ ½Ä¿¡¼ ÁÖ·Î »ç¿ëÇϸé ÁÁ´Ù
(3) p-±Þ¼ö ÆÇÁ¤¹ý
sum from n1 to ¡Ä 1 over n^p``1 1 over 2^p 1 over 3^p.1 over n^p.
ÀÌ ¼ö·ÅÇϱâ À§ÇÑ ÇÊ¿äÃæºÐÁ¶°ÇÀº p > 1 ÀÌ´Ù.
p ¡Â 1ÀÏ ¶§´Â ¹ß»êÇÑ´Ù (ÀÌÇÏ »ý·«)
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Æ÷ÀÎÆ® : ÀÚ·á 1°Ç´ç ÃÖ´ë 5,000P Áö±Þ
Çö±Ý : ÀÚ·á 1°Ç´ç ÃÖ´ë 2,000¿ø Áö±Þ