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研究所、轉學考(插大)-微積分
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106年 - 106 國立臺北大學學士班暨進修學士班轉學生招生考試_統計學系二、三年級：微積分#116786
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題組內容
2. Let f(x)=Inx, x＞0.
(d) (5%) Approximate In(1.1) by the 4
th
Taylaor Polynomial for f centered at 1.
其他申論題
(c) (8%) Is f differentiable at 0 ? Explain your answer as well.
#499017
(a) (7%) Find the Taylaor Series for f(x) centered at 1.
#499018
(b) (8%) Find the interval of convergence of the power series in (a).
#499019
(c) (5%) Find the value of the infinite series.
#499020
(a) (6%)
#499022
(b)(6%)
#499023
(c)(8%)
#499024
(a) (5%) Find the equation of C.
#499025
(b) (7%) Find the equation the tangent line at the point on level curve C.
#499026
(c) (8%) At the point on the level C what is the direction of the greatest rate of increasing of f(x,y)?
#499027
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