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5. Find the Taylor series expansion for the function f(x) = sinh x around x = 0 (Commonly called the MacLaurin series for sinh x).

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5. Find the Taylor series expansion for the function f(x) = sinh x around x = 0 (Commonly called the MacLaurin series for sinh x). After you find the series, use the Ratio test to determine the radius of convergence f(x ) = xsinky f(0) = lined f' (x) f'(0) = f" (x) =(growros) f" (0 ) = +4+12 C2 Forreally ni bauol f" (x ) = f"' (0) = C3 = f ( 4 ) ( x ) = f ( 4 ) ( x ) = C4 = Therefore the MacLaurin series expansion for f (x) = sinh x is Radius of convergence

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