Find the Maclaurin Series for (1+x)" where m is not necessarily an integer and hence show that the formula for the binomial series works for non-integral exponents as well. Use 1 your answer to find the expansion of- up to the term in xº. 1-x²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the Maclaurin Series for (1 + x)m where m is not necessarily an integer and hence
show that the formula for the binomial series works for non-integral exponents as well. Use
1
your answer to find the expansion of-
up to the term in x6.
1-x²
Transcribed Image Text:Find the Maclaurin Series for (1 + x)m where m is not necessarily an integer and hence show that the formula for the binomial series works for non-integral exponents as well. Use 1 your answer to find the expansion of- up to the term in x6. 1-x²
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