Question: The function f(x) = sinh 1 x has the power series expansion Obtain polynomial approximations for sinh1x for 0.5 (a) 0.005 (b) 0.000 05.

The function f(x) = sinh–1x has the power series expansion

sinh-x = x 1 x 23 + 1.3 x5 2.4 5 1.3.5 x 2.4.6 7 +

Obtain polynomial approximations for sinh1x for –0.5

(a) 0.005 

(b) 0.000 05.

sinh-x = x 1 x 23 + 1.3 x5 2.4 5 1.3.5 x 2.4.6 7 +

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