lim x->-1(X^3+aX^2-X+4)/(X+1)=b 求 a b
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lim x->-1(X^3+aX^2-X+4)/(X+1)=b 求 a b
lim x->-1(X^3+aX^2-X+4)/(X+1)=b 求 a b
lim x->-1(X^3+aX^2-X+4)/(X+1)=b 求 a b
既然b是实数,又因为当x→-1时,分母x+1→0.
所以当x→-1时,分子X^3+aX^2-X+4定→0,否则lim x->-1(X^3+aX^2-X+4)/(X+1)会趋于无穷大
故(-1)³+a(-1)²-(-1)+4=0 推出a=-4
代入很容易求出极限b=10
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