Question

求图中数学题的答案

Answer 1

(6)
y=e^x
y'=e^x
y'(0) = 1
切线方程 (0,1)
y-1= x
x-y+1=0
ans :C
(7)
1/(1+x) = 1-x+x^2+...
∫dx/(1+x) = ∫{1-x+x^2+...} dx
ln|1+x| = x -(1/2)x^2+(1/3)x^3+....
ans: B
(8)
lim(x->0) sin2x/x
=2
ans :C
(9)
x∈(0,1)
x>x^3
I1 >I2
ans :B
(10)
f(x) =x^3-6x^2+9x+10
f'(x) = 3x^2-12x+9
f'(x)=0
x^2-4x+3=0
(x-1)(x-3)=0
x=1 or 3
f''(x) = 6x-12
f''(3)=18-12=6>0 (min)
f''(1) =6-12=-6<0 (max)
ans: C

Answer 2

6~10
CBCBC