By use of the Maclaurin series already obtained in this chapter, prove the identity e ix =
Question:
By use of the Maclaurin series already obtained in this chapter, prove the identity eix = cos (x) + i sin (x).
a. Show that no Maclaurin series
f(x) = a0 + a1x + a2x2 +· · ·
can be formed to represent the function f(x) = √x. Why is this?
b. Find the first few coefficients of the Maclaurin series for the function
f(x) = √1 + x.
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a The function is not analytic at x 0 Its d...View the full answer
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