Taylorå±å¼çæä¹å¨äºå®åè¯æ们对äºä¸ç±»å½æ°ï¼è§£æå½æ°ï¼ï¼æ们å¯ä»¥ç¨ä¸ä¸ªå½æ°çé«é¶å¯¼æ°å¨xçåå¼æ¥å¨xçä¸ä¸ªé»åå
é¼è¿è¿ä¸ªå½æ°æ¬èº«ãæ´æ¼äº®çæ¯ï¼è¿ä¸ªé¼è¿çé度æ¯å¯ä»¥æè¿°çï¼æ³°åå
¬å¼ï¼ï¼èä¸è¿ä¸ªè¯¯å·®æ¬èº«å°±æ¯æ¯è¾ç´§çï¼å æ¤å¨æ们对精度çè¦æ±å¹¶ä¸å¤ªé«çæ¶åçè³å¯ä»¥æªæï¼åªååé¢æé项ï¼èç»æ并ä¸ä¼å·®åºå¤ªå¤ï¼è¿å¯¹ä¸è¬ç级æ°å¹¶ä¸æç«ï¼æ¯å¦è°å级æ°ï¼ã
æ¿ä¸é¢åä½æå°çsin(x)æ¥ä¸¾ä¾ãsin(0) = 0è¿åå好æ±ï¼ä½sin(0.01)å¢ï¼è¿ä¸ªæ¶åææ¹ä¾¿çæ¹æ³å°±æ¯ç¨Taylorå±å¼ï¼å 为å®åè¯æ们è¿ä¸ªå¼å®é
ä¸åªä¾èµäºsin'(0), sin''(0), sin'''(0)...èè¿ä¸ç³»åæ°çæ¯ä¸é¡¹é½å¾å¥½æ±ãéè¿å¸¦å
¥Taylor级æ°æ们å¯ä»¥çå°sin(0.01) = 0.01 - 0.01^3/3! + 0.01^5 / 5! ... è¿æ ·æ们就æsinçæ±å¼è½¬åæ线æ§æ±å¼äºï¼å¥½ç®å¤äºä¸æ¯åï¼
温馨提示:答案为网友推荐,仅供参考