可以幫我解一下四題極限四則運算的題目嗎(附過程)?

2017-10-19 10:53 pm
A. lim(x→2) x-2/x²-4x+4
B. lim(x→∞)x+1/2x-1
C. lim(x→∞)1-x/3+2x
D. lim(x→∞)x²+1/2x³+5

回答 (2)

2017-10-20 6:28 am
✔ 最佳答案
ALim(x→2)_(x-2)/(x^2-4x+4)
= lim(x→2)_1/(x-2)
不存在
B. lim(x→∞)_(x+1)/(2x-1)
= lim(x→∞)_(1+1/x)/(2-1/x)
=1/2
C. lim(x→∞)_(1-x)/(3+2x)
= lim(x→∞)_(1/x-1)/(3/x+2)
=-1/2
D. lim(x→∞)_(x^2+1)/(2x^3+5)
=lim(x→∞)(1/x+1/x^3)/(2+5/x^3)
=(0+0)/(2+9)
=1/2
2017-10-20 9:05 pm
=lim(x→∞)(1/x+1/x^3)/(2+5/x^3)
=(0+0)/(2+9) ???????????=1/2









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