求极限x趋于0+2x^4/(1/3x^3+xcosx-sinx)
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求极限x趋于0+2x^4/(1/3x^3+xcosx-sinx)
原式=limx→0+ 8x^3/(x^2+cosx-xsinx-cosx)
=limx→0+ 8x^2/(x-sinx)
=limx→0+ 16x/(1-cosx)
=limx→0+ 16/sinx
=∞.
=limx→0+ 8x^2/(x-sinx)
=limx→0+ 16x/(1-cosx)
=limx→0+ 16/sinx
=∞.
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