The function f ( x ) = ex can be written as the Taylor Series about x = 0 as following: ex = ∞ ∑ n=0 xn ---- n! . With this, determine the series of the functions below. On the second line given, write out the first four terms of the series. Note that n! is entered as factorial(n). h ( x ) = e3 x2 ∑n=0∞ ( )n Finally, give the series representing ⌠ ⌡ e3 x2 dx (do not include the "+c") ∑n=0∞ ( )n
The function f ( x ) = ex can be written as the Taylor Series about x = 0 as following: ex = ∞ ∑ n=0 xn ---- n! . With this, determine the series of the functions below. On the second line given, write out the first four terms of the series. Note that n! is entered as factorial(n). h ( x ) = e3 x2 ∑n=0∞ ( )n Finally, give the series representing ⌠ ⌡ e3 x2 dx (do not include the "+c") ∑n=0∞ ( )n
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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The function f ( x ) = ex can be written as the Taylor Series about x = 0 as following:
|
With this, determine the series of the functions below. On the second line given, write out the first four terms of the series.
Note that n! is entered as factorial(n).
|
∑n=0∞ ( )n
Finally, give the series representing
|
(do not include the "+c")
∑n=0∞ ( )n
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