Let f(x) = tan 2x. Which of the following is/are correct? A. The fourth approximation of sec 2x about a = 0 is p4(x) =1+ 4a + 64 3 B. The fourth approximation of f(x) about x = is pa(2) = 1+4(x – 128 +, 3 60 8(x 8 C. tan r = (0) T " expanded about n! n=0
Let f(x) = tan 2x. Which of the following is/are correct? A. The fourth approximation of sec 2x about a = 0 is p4(x) =1+ 4a + 64 3 B. The fourth approximation of f(x) about x = is pa(2) = 1+4(x – 128 +, 3 60 8(x 8 C. tan r = (0) T " expanded about n! n=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let f(x) =tan2x. Which of the following is correct
Transcribed Image Text:ef...
at.
Let f(x) = tan 2x. Which of the following is/are correct?
%3D
A. The fourth approximation of sec 2x about z =
O is p4(x) = 1+4x?
3
64
OB. The fourth approximation of f(x) about a
+ 8(z - * + (- - + -
* is p:(2) = 1 + 4(x –
)+8(x
8.
128
(x – )
3
60
8
f(n)(0)
3
8.
C. tan x =
n!
(x –-)" expanded about
8.
8.
4
2
= 0 is p6(r) = 2x
64
O D. The sixth approximation of In sec 2x about x
+
45
f(m)()
O E. tan x =
n!
0.
x" expanded about
8
TL
f(") ()
8.
O
(--)" expanded about
8.
F. tan 2x =
n!
8.
32
= 0 is p4 (a) =1+ 4x? +
O G. The fourth approximation of sec? 2a about e
160
is p4(x) = 1+ 4(x
8
)+ 8(x -+
64
2).
H. The fourth approximation of f(x) about a =
8.
8.
8
8.
64
8.
OI. The fifth approximation of f(x) about e
0 is p5(x) 2x +
3
15
160
32
.3
+.
J. The fourth approximation of f(x) about = 0 is p4 (x) = 1+ 4x + 8a +
4
4
3
32
+.
45
K. The sixth approximation of In sec 2x about x = 0 is p6(x) = 2x +
+.
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