# Taylor series

M Inbox (8,549) X Stewart 8E Ch X CamScanner X C Get Homewo X C AB HTML An X C Find A Power X S SOLUTION: C G spiral galaxy х G speed test – CX + 0 — Х { t → с webassign.net/web/Student/Assignment-Responses/submit?dep=26814484&tags=autosave#question3391629_8 Q ☆ Update: * Apps u Online IT & Softwar… (A) Basic HTML and HT… Free How-To Tutori… {oc} Benefits of Learning… C++ Tutorial | Solo… Start Learning at Tr… (3) Welcome to the… 50 Legitimate Ways… Reading list Tutorial Exercise Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R,(x) 0.] Find the associated radius of convergence R. f(x) = 5/x, a = -3 Step 1 The Taylor series formula is f(a) + f'(a)(x – a) + f”(a) 🙂 (x – a)2 + f”(a) ? (x – a)3 + f(4)(a) ( 2(x – a)4 + 2! 3! 4! -1 -1 The function f(x) 5 can also be written as f(x) = (5) , which has derivatives f'(x) = (5) Х x 2 Х 2 24 24 f”(x) = (5) f”'(x) = (5) and f(4)(x) = (5) 3 4 5 х X Step 2 With a = -3, f(-3) = (5) 무 f f'(-3) = (5) f”(-3) = (5) f”(-3) = (5) and 3 32 33 34 f(4)(-3) = (5) -15 35 Submit Clin luontoonnat came hool PDF answer_1 (4).pdf PDF answer_1 (4).pdf Canceled Show all Х O Type here to search JUL g W CE < 12 ca 1 ENG 5:39 AM 28-Jul-21 99+ 22 M Inbox (8,55 X WA Stewart 8E X CamScanne X C Get Home X C AB HTML х C Find A Pow X S SOLUTION: X S 202107280 x G spiral galax x G speed test x + 0 — Х { t → с i webassign.net/web/Student/Assignment-Responses/submit?dep=26814484&tags=autosave#question3391722_27 Q ☆ Update: ! Apps u Online IT & Softwar… () Basic HTML and HT… Free How-To Tutori… {oc} Benefits of Learning… C++ Tutorial | Solo… Start Learning at Tr… (3) Welcome to the… 50 Legitimate Ways… Reading list f(4)(x) -6 240 -6 240 (1 – x) Step 2 Now, f(0) = 2,f’0) = 4 f”(0) = 12 12 f(0) = 48 48 and f(4) (0) = 240 240 Step 3 Therefore, the Maclaurin Series begins as follows. + 4 x + X 6 x 8 x3 X 10 x4 + …. Step 4 Thus, the general formula is -1.1 2n + 1).” n = 0 Step 5 Using the Ratio Test to find the radius of convergence, we have 2(n + 2)x” + + 1 lim = lim an+1 n00 n00 Submit Skip (you cannot come back) Need Help? Read It 6. [2/2 Points] DETAILS PREVIOUS ANSWERS SCALC8 11.10.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R. (x) → 0.] f(x) = sin(x) PDF answer_1 (4).pdf PDF answer_1 (4).pdf Canceled Show all Х O O Type here to search W CE < (2) ca 1 ENG 7:00 AM 28-Jul-21 99+ 23

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