3. Using Exercise 9, p. 135, prove that 00 (_1)k x2k+1 smx = L (2k I)!...

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3. Using Exercise 9, p. 135, prove that

• 00 (_1)k x2k+1 smx = L (2k I)!

k=O +

00 (_1)kx2k and cos x = L (2k)!

k=O for all x E [0, IT /2J.

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