ME – 510 NUMERICAL METHODS FOR ME II gG±²³´µG³´¶·G¸¹´ºG»¼½ Fall 2007 CATASTROPHIC CANCELLATION Problem : Calculate e x using n number of terms in the MacLaurin Series ! 1)-n ( x ... ! 2 x x 1 S 1-n 2 n g g g g G and find what n should be if S n is to be correct to 14 digits after the decimal point, i.e., the truncation error is less than 0.5 10-14 . Answer:
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