1. Let f(x)=sin(x) and apply theorem(4.1) a. Use xo=0 and find P3(x), P7(x), and Po(x). b.Show that if |x|

1. Let f(x)=sin(x) and apply theorem(4.1)<br>a. Use xo=0 and find P3(x), P7(x), and Po(x).<br>b.Show that if |x|<1 then the approximation<br>x5<br>sin(x)~ x –<br>+<br>3!<br>5!<br>7!<br>9!<br>has the error bound TE,(x)| < < 2.755 74 x 10-7.<br>10!<br>c.Use xo = and find P5(x), which involves powers of (x-).<br>4.<br>

Extracted text: 1. Let f(x)=sin(x) and apply theorem(4.1) a. Use xo=0 and find P3(x), P7(x), and Po(x). b.Show that if |x|<1 then="" the="" approximation="" x5="" sin(x)~="" x="" –="" +="" 3!="" 5!="" 7!="" 9!="" has="" the="" error="" bound="" te,(x)|=""><>< 2.755="" 74="" x="" 10-7.="" 10!="" c.use="" xo="and" find="" p5(x),="" which="" involves="" powers="" of="" (x-).="">

Jun 03, 2022

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1. Let f(x)=sin(x) and apply theorem(4.1) a. Use xo=0 and find P3(x), P7(x), and Po(x). b.Show that if |x|

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