作业帮lim(x趋向0)1-x^2-e^(-x^2)/xsin^3(2x)
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lim(x趋向0)1-x^2-e^(-x^2)/xsin^3(2x)
lim(x趋向0)1-x^2-e^(-x^2)/xsin^3(2x)
lim(x趋向0)1-x^2-e^(-x^2)/xsin^3(2x)
lim(x→0) [1-x^2-e^(-x^2)]/[xsin^3(2x)]
=lim(x→0) [1-x^2-e^(-x^2)]/(8x^4) (0/0)
=lim(x→0) [-2x+2xe^(-x^2)]/(32x^3)
=lim(x→0) [-1+e^(-x^2)]/(16x^2)
=lim(x→0) (-x^2)/(16x^2)
=-1/16
infinity
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