兄弟们帮帮忙,求解
1个回答
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α=√(1-x^2+x^4) - cosx
x->0
√(1-x^2+x^4)
= 1 +(1/2)(-x^2+x^4) -(1/8)(-x^2+x^4)^2 + o(x^4)
= 1 +(1/2)(-x^2+x^4) - (1/8)x^4 +o(x^4)
=1-(1/2)x^2 + (3/8)x^4 +o(x^4)
cosx = 1-(1/2)x^2 +(1/24)x^4 +o(x^4)
α
=√(1-x^2+x^4) - cosx
=1-(1/2)x^2 + (3/8)x^4 -[1-(1/2)x^2 +(1/24)x^4] +o(x^4)
=(1/3)x^4 +o(x^4)
=> k=4
ans :C
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