所屬科目：研究所、轉學考(插大)-微積分
1. (1) Evaluate=________
(2)Let . Then f'(1)=________.
(4) If x＞0,then dt=_______.
(5) Evaluate=_________.
(6) Evaluate=________
(7) Evaluate=________.
(8) The radius of convergent of the power series is_________.
(9) Let f(x,y)=xey-yex. The gradient of fat (0,0) is ∇f(0,0)=_______.
(10) Evaluate dydx=_________.
(1) (8%) Prove that 1≤ an ≤2,and
(3) (6%) Find .
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=________
. Then f'(1)=________.
dt=_______.
=_________.
=________
=________.
is_________.
dydx=_________.
. 