题目
3.计算下列极限(1) lim_(x→2)(-2) ;(2) lim_(x→1)(x^3-x^2+x-1) ;21(3)lim_(x→2)(x^2-16)/(x-4) (4)lim_(x→3)(x^2-9)/(x-3) (5)lim_(x→1)(1/(1-x)-3/(1-x^3)) (6)lim_(x→0)((x+h)^3-x^3)/h (7)lim_(x→1)(√(x+3)-2)/(x-1) (8) lim_(x→+∞)√x(√(x+2)-√(x+1))x+o(9)超清说lim_(n→∞)(9x^4+3x^2-10)/(3x^4+x^3-x^2+1) (10)lim_(x→∞)(x^3-2x^2+5)/(100x^2+15)
3.计算下列极限(1) lim_(x→2)(-2) ;(2) lim_(x→1)(x^3-x^2+x-1) ;21(3)lim_(x→2)(x^2-16)/(x-4) (4)lim_(x→3)(x^2-9)/(x-3) (5)lim_(x→1)(1/(1-x)-3/(1-x^3)) (6)lim_(x→0)((x+h)^3-x^3)/h (7)lim_(x→1)(√(x+3)-2)/(x-1) (8) lim_(x→+∞)√x(√(x+2)-√(x+1))x+o(9)超清说lim_(n→∞)(9x^4+3x^2-10)/(3x^4+x^3-x^2+1) (10)lim_(x→∞)(x^3-2x^2+5)/(100x^2+15)
题目解答
答案
答案解析2) lim_(x→1)(x^3-x^2+x-1)=l-1+l-1=02×4=2-4=64)hm34bx+33+3=6)6) lim_(x→0)((x+h)^3-x^3)/h=lim_(x→0)(b^3+x^3+3hx^2+3b^2x)/h=h^2lim_(x→1)(√(x+3)-2)/(x-1)=lim_(x→1)1/(2√(x+3))=1/4 8)lim_(x→+∞)(√x)/(√(x+2))-√(x+1)=lim_(x→∞)(√x)/(√(x+2)-1)=1/(√(x+1))=2/ lim_(x→m)(9x^4+3x^2-10)/(3x^4+x^2-x^2+1)=lim_(x→0)[3+(6x^2-3x^3-13)/(3x^lo lim_(x→0)(x^3-2x^2+5)/(log_2x^2+15)=lim_(x→0)3/(2006)x+rac(-2x^2-rac3(20)x+5不收敛☆+☆☆