5. Show that each of the following functions of x admits a power series expansion on some interval centered at the origin. Find the expansion and give its interval of validity. 32 - a. S e-t² dt. CE 12 11

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Chapter2: Second-order Linear Odes
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5. Show that each of the following functions of a admits a power series expansion
on some interval centered at the origin. Find the expansion and give its interval
of validity.
332
MICH...
a. fe-t² dt.
b. cos t² dt.
c. ft¹ log(1+2t) dt.
Transcribed Image Text:5. Show that each of the following functions of a admits a power series expansion on some interval centered at the origin. Find the expansion and give its interval of validity. 332 MICH... a. fe-t² dt. b. cos t² dt. c. ft¹ log(1+2t) dt.
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