作者ru18284 (浪子回頭)
看板Math
標題[微積] 羅必達法則
時間Sat Mar 12 10:59:30 2011
請問各位大大一題有關羅必達法則的運用..
lim t→0 (5^t - 3^t) / t = ?
要怎嚜算?????
謝謝囉!!!!!!!!!!!
感恩~~~~
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1F：→ johnjohnlin :上面微分下面微分 (對 t 微分) 03/12 11:08
2F：→ suker :(5^t ln5 - 3^t ln3)/1 t→0 =ln5-ln3 =ln(5/3) 03/12 11:22
3F：→ ru18284 :怎嚜讓它變成5^tln5 的? 03/12 11:24
4F：→ suker :(5^t)' =5^t ln5 03/12 11:34
5F：→ suker :y=5^t , lny =t*ln5兩邊對t微分 (1/y)y' =ln5 ==> 03/12 11:37
6F：→ suker :y' =ln5 *y =ln5 *5^t 03/12 11:37
7F：→ ru18284 :謝謝囉!!!! 推感謝!!! 03/12 13:28