①x²;n+xn-1/9y²;+¼;=?②x的十次方加上x的5次方减去2(1/9為九分之一)急.

①x²;n+xn-1/9y²;+¼;=?②x的十次方加上x的5次方减去2(1/9為九分之一)急.


①x²;n+xn-1/9y²;+¼;n
= n(x²;+x+1/4)-(1/3y)²;
=n(x+1/2)²;-(1/3y)²;
這個是不是題目寫錯了
②x的十次方加上x的5次方减去2
=x^10+x^5-2
=(x^5+2)(x^5-1)



已知f(x)在x=0的某個鄰域內連續,且f(0)=0,limx→0f(x)1-cosx=2,則在點x=0處f(x)()
A.不可導B.可導,且f′(0)≠0C.取得極大值D.取得極小值


limx→0f(x)1-cosx=limx→0f(x)12x2+o(x2)=2故在x=0臨域,有f(x)=x2+o(x2)f'(x)=2x+o(x)f''(x)=2+o(1)故在點x=0處f'(0)=0,f''(0)=2>0即在點x=0函數f(x)取得極小值.故選:D.



1/1×3+1/3×5+1/5×7+···+1/(2n-1)(2n+1)


1/(1×3)+1/(3×5)+1/(5×7)+……+1/(2n-1)(2n+1)
=1/2×[1-1/3+1/3-1/5+1/5-1/7+……+1/(2n-1)-1/(2n+1)]
=1/2×[1-1/(2n+1)]
=1/2×2n/(2n+1)
=n/(2n+1).