## Question

###### Near certain values of ? each of the following functions cannot hbe accurately computed using the formula given due to cancellation error Identify the values of € which are involved (e.g nCar = 0 large positive z) and prO- pose reformulation of the function (e.g using Taylor serics_ rationalization trigonometric identities; etc:) to remedy the problem: This is problem # 12 from the texthook Please also see pages 48-49 for examples and more details_ f()=1+ COS f(r) = IT In(/1) f (s) =1 2 sin? (

Near certain values of ? each of the following functions cannot hbe accurately computed using the formula given due to cancellation error Identify the values of € which are involved (e.g nCar = 0 large positive z) and prO- pose reformulation of the function (e.g using Taylor serics_ rationalization trigonometric identities; etc:) to remedy the problem: This is problem # 12 from the texthook Please also see pages 48-49 for examples and more details_ f()=1+ COS f(r) = IT In(/1) f (s) =1 2 sin? (b) f(z) = e +sing = 1 (d) f() = V2+1-V22+4 (f) f(c) = In(r+ Vze+1)

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