Find the first three nonzero terms of Maclaurin series for the functions f(x): and other function f(x) = ex By depending on point (i), find the series for function f(x) = Cosh(x) where i. = et ii. e*+e-x Cosh(x) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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H.W 2/ Answer the following points
i.
Find the first three nonzero terms of Maclaurin series for the functions f(x)
and other function f(x) = e¯*
By depending on point (i), find the series for function f(x) = Cosh(x) where
= e*
ii.
e*+e-x
Cosh(x) :
1
Ans./ i) e* = 1+÷x+
1!
2!
1
1
x²
+ ..
e-x = 1-x+x².
1!
e* + e*
1
x²
2!
--) (1 –
1
x+
1!
1
ii) Cosh(x) =
+1
1!
2
2!
Cosh(x) = 1 +
2!
Transcribed Image Text:H.W 2/ Answer the following points i. Find the first three nonzero terms of Maclaurin series for the functions f(x) and other function f(x) = e¯* By depending on point (i), find the series for function f(x) = Cosh(x) where = e* ii. e*+e-x Cosh(x) : 1 Ans./ i) e* = 1+÷x+ 1! 2! 1 1 x² + .. e-x = 1-x+x². 1! e* + e* 1 x² 2! --) (1 – 1 x+ 1! 1 ii) Cosh(x) = +1 1! 2 2! Cosh(x) = 1 + 2!
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