Let f be the Taylor polynomial P,(x) of order 7 for tan¹ x about x = 0. Then it follows that, if -0.5 tan¹ x if x<0 but 0 (E) f(x) tan¹ x if x > 0 20. Replace the first sentence in Question 19 by "Let f be the Taylor polynomial P,(x) of order 9 for tan¹ x about x = 0." Which choice given in Question 19 is now the correct one?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

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19.
Letf be the Taylor polynomial P,(x) of order 7 for tan¹ x about x = 0. Then it
follows that, if-0.5<x<0.5,
(A) f(x)= tan-¹ x
(B) f(x) tan-¹ x
(C) f(x) > tan¹x
(D)-f(x) > tan¹ x if x < 0 but <tan¹ x if x > 0
(E) f(x) <tan-¹ xif x<0 but> tan¹ x if x > 0
20. Replace the first sentence in Question 19 by "Let f be the Taylor polynomial
P,(x) of order 9 for tan¹ x about x = 0." Which choice given in Question 19
is now the correct one?
Transcribed Image Text:19. Letf be the Taylor polynomial P,(x) of order 7 for tan¹ x about x = 0. Then it follows that, if-0.5<x<0.5, (A) f(x)= tan-¹ x (B) f(x) tan-¹ x (C) f(x) > tan¹x (D)-f(x) > tan¹ x if x < 0 but <tan¹ x if x > 0 (E) f(x) <tan-¹ xif x<0 but> tan¹ x if x > 0 20. Replace the first sentence in Question 19 by "Let f be the Taylor polynomial P,(x) of order 9 for tan¹ x about x = 0." Which choice given in Question 19 is now the correct one?
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