For the following function, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. f(x) = tan f(x) = f(x) = + +... The open interval of convergence is: (Give your answer in (a,b), [a,b]. (a,b] or [a,b). For o, type "infinity" and for -0o, type "-infinity".)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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for the following function, find the full power series centered at x=0x=0 and then give the first 5 nonzero terms of the power series and the open interval of convergence.

 

f(x)=tan−1(x6)f(x)=tan−1⁡(x6)

 

f(x)=∑n=0∞f(x)=∑n=0∞ 

f(x)=f(x)=  ++  ++  ++  ++  +⋯+⋯

The open interval of convergence is:

For the following function, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence.
f(x) = tan
f(x) =
f(x) =
+
+...
The open interval of convergence is:
(Give your answer in (a,b), [a,b]. (a,b] or [a,b). For o, type "infinity" and for -0o, type "-infinity".)
Transcribed Image Text:For the following function, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. f(x) = tan f(x) = f(x) = + +... The open interval of convergence is: (Give your answer in (a,b), [a,b]. (a,b] or [a,b). For o, type "infinity" and for -0o, type "-infinity".)
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