Let f(x)=sin(x^2)+cos x.

cos (x)=1-(x^2)/2!+(x^4)/4!-(x^6)/6!+...

sin(x^2)=x^2-(x^6)/3!+(x^10)/5!-(x^14)/7!+...

Use the series for cos (x) and the series for sin(x^2) to write the first four nonzero terms of the Taylor series for f about x=0.

Answer: f(x)=1+(x^2)/2+(x^4)/4!-(121x^6)/6!+...

Please show all your work and accurate answer. Thanks.

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