Re: [微積] limit化簡卡關
: 真的卡住了,板上大大有人會詳解嗎?
t(1-cost) 0
lim ─────── = ──
t→0 t-sint 0
use L'hospital Rule we get
t(1-cost) (1-cost)+tsint 0
lim ──── = lim ─────── = ──
t→0 t-sint t→0 1-cost 0
sint+sint+tcost 2sint+tcost
= lim ──────── =lim ────── =0/0
t→0 sint t→0 sint
2cost +cost-tsint
= lim ───────── = 3
t→0 cost
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