高数极限问题,10题?

2024-11-03 07:08:04
推荐回答(2个)
回答1:

回答2:

D√
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y = (x²-1)/(x²+3x-2) = [(x+1)(x-1)]/[(x-1)(x-2)] = (x+1)/(x-2)
∵ (x→1)lim (x+1)/(x-2) = (1+1)(1-2) = -2
∴ x=1是可去间断点,第一类
∵ (x→2-)lim (x+1)/(x-2) = -∞;
(x→2+)lim (x+1)/(x-2) = +∞
∴ x=2是无穷间断点,第二类
综上:D正确