# 10Q2 - x 101 and ﬁnd the derivative h(101(0 4(a Write the ﬁrst 3 terms(including the constant one of the Taylor series expansions about x = 0

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NAME: QUIZ 2 1. Find the radius of convergence and the domain of convergence of the power series X n =1 3 n n ( n + 2) x n . 2. Write the second degree Taylor polynomial about x = 2 of the function f ( x ) = ln x x .

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2 3. (a) Find the Taylor series of the function h ( x ) = x 2 sin(2 x 3 ) about 0 . (Write the ﬁrst three non-zero terms of the series.) (b) Find the Taylor coeﬃcient in front of
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Unformatted text preview: x 101 and ﬁnd the derivative h (101) (0) . 4. (a) Write the ﬁrst 3 terms (including the constant one) of the Taylor series expansions about x = 0 of the functions f ( x ) = (1-x )-3 / 2 and g ( x ) = e 3 x/ 2 . (b) Use your result in (a) to decide which function takes larger values for x close to 0....
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## This note was uploaded on 12/23/2011 for the course MATHEMATIC MATH 102 taught by Professor Plamendjakov during the Spring '10 term at Sabancı University.

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10Q2 - x 101 and ﬁnd the derivative h(101(0 4(a Write the ﬁrst 3 terms(including the constant one of the Taylor series expansions about x = 0

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