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BlueMage

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Let f be continuous at x = 0, and assume
lim [f(2x) − f(x)]/x  = L
x¡ú0
Prove that f¡ä(0) exists and f¡ä(0) = L.

Èç¹ûÄÜÖªµÀf¡ä(0)´æÔÚ£¬ÄÇÍÆ³öf¡ä(0) = L µ½²»ÄÑ
ÏÖÔÚÎÊÌâÊÇÔõô֤Ã÷f¡ä(0) ´æÔÚÄØ£¿
»Ø¸´´ËÂ¥
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½ð³æ (ÕýʽдÊÖ)


BlueMage(½ð±Ò+3): лл¡£ 2011-01-23 13:07:49
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f(x)-f(x/2^n)/ [(1-1/2^n)x]
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2Â¥2011-01-23 09:24:41
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
BlueMage(½ð±Ò+7): лл£¬ºÜÏêϸ£¬Ö»ÊÇÏëÎÊһϣ¬×îºóÄǸöСÓÚµÈÓÚºÅÖеĵÈÓÚ²»Ó°Ïì½á¹ûÂ𣿠2011-01-23 13:09:45


[ Last edited by Pchief on 2011-1-23 at 09:44 ]
3Â¥2011-01-23 09:40:27
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