1 证明恒等式arcsinx+arccosx=π/2(-1<=x<=1)
2 证明下列不等式:
(1)当a>b>0,n>1时,(a-b)nb^(n-1)<a^n-b^n<(a-b)na^(n-1)
(2) |arctanx-arctany|<=|x-y|
(3) 当x>1时,e^x>e*x
1 证明恒等式arcsinx+arccosx=π/2(-1<=x<=1)
2 证明下列不等式:
(1)当a>b>0,n>1时,(a-b)nb^(n-1)<a^n-b^n<(a-b)na^(n-1)
(2) |arctanx-arctany|<=|x-y|
(3) 当x>1时,e^x>e*x