求lim(1-cosx)/x^2求lim(1-COSX)/X^2X→0
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求lim(1-cosx)/x^2求lim(1-COSX)/X^2X→0求lim(1-cosx)/x^2求lim(1-COSX)/X^2X→0求lim(1-cosx)/x^2求lim(1-COSX)/X
求lim(1-cosx)/x^2求lim(1-COSX)/X^2X→0
求lim(1-cosx)/x^2
求lim(1-COSX)/X^2
X→0
求lim(1-cosx)/x^2求lim(1-COSX)/X^2X→0
答：
lim(x→0) (1-cosx)/x²
=lim(x→0) 2sin²(x/2)/[4*(x/2)²]
=lim(t→0) (1/2）(sint/t)²
=1/2
1/2
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