Re: [考古] 中興近五年考古
※ 引述《popop922902 ()》之銘言：
: 1.FIND the taylor's series at x=0 of the function f(x)=更號(1+X)
: 2.lim [更號(4x^2+5x+2) +2x]
: x->負無窮大
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∞
1.f(x) = Σ (0.5Ck)(x^k)
k=0
2. lim {√(4x^2+5x+2)+2x}
x->-∞
5 2
= lim {|x|√(4+ ── + ── ) +2x}
x->-∞ x x^2
5 2
= lim {-x√(4+ ── + ── ) +2x}
x->-∞ x x^2
2-√(4+ 5/x + 2/(x^2))
= lim ─────────────
x->-∞ 1/x
= -5/4
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