大数lim(cosx)^(1/(1-cosx)).x趋向于0
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大数lim(cosx)^(1/(1-cosx)).x趋向于0大数lim(cosx)^(1/(1-cosx)).x趋向于0大数lim(cosx)^(1/(1-cosx)).x趋向于0原式=lim(x→0
大数lim(cosx)^(1/(1-cosx)).x趋向于0
大数lim(cosx)^(1/(1-cosx)).x趋向于0
大数lim(cosx)^(1/(1-cosx)).x趋向于0
原式=lim(x→0){[1+(cosx-1)]^[(1/(cosx-1))(-1)]}
=1/lim(x→0){[1+(cosx-1)]^(1/(cosx-1))}
=1/lim(t→0)[(1+t)^(1/t)] (令t=cosx-1)
=1/e
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