lim(2/π·arcosx)^1/x,x趋近0,洛必达法求?
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lim(2/π·arcosx)^1/x,x趋近0,洛必达法求?
lim(2/π·arcosx)^1/x,x趋近0,洛必达法求?
lim(2/π·arcosx)^1/x,x趋近0,洛必达法求?
原式=lim(x->0) e^{[ln(2/π*arccosx)]/x}
=e^ {lim(x->0)[ln(2/π*arccosx)]/x}
=e^ {lim(x->0)[π/2arccosx*2/π*(-1/√(1-x^2))]}
=e^ {lim(x->0)[-arccosx/√(1-x^2)]}
=e^(-π/2)
lim(2/π·arcosx)^1/x,x趋近0,洛必达法求?
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