I hope that you will clarify this topic again and solve the examples in detail, and I am confident that I will give you an upvote.Thank you..... Taylor seriesthe taylor series generated by f(x) at x=a is ..f(a)F(a)f(a)+(x-a) +(x-(f" (a)a)²+...... (x-a)n1!2!n!Example /find the taylor series for f(x)=cos x at x=2π.Soltion//f(x)cos x. ƒ(2π) = 1f(x) = -sinx.F(2) = 0F(x)= - COS X.F(2π) ==-1The taylor series is11+0-(x- -2)²+.....2!Example/find the taylor series for f(x)= ½- at x=2.Soltion//1f(x) == ½ ½ ƒ(2) = 1f(x) = 11. F(2)=442 17(x) = 23. 7(2) = 1/13 - 11=8 4The taylor series is11(x-2)+24 * 1!4 * 2!1(x − 2)²+.....

Question

I hope that you will clarify this topic again and solve the examples in detail, and I am confident that I will give you an upvote.Thank you..... Taylor seriesthe taylor series generated by f(x) at x=a is ..f(a)F(a)f(a)+(x-a) +(x-(f&#34; (a)a)²+...... (x-a)n1!2!n!Example /find the taylor series for f(x)=cos x at x=2π.Soltion//f(x)cos x. ƒ(2π) = 1f(x) = -sinx.F(2) = 0F(x)= - COS X.F(2π) ==-1The taylor series is11+0-(x- -2)²+.....2!Example/find the taylor series for f(x)= ½- at x=2.Soltion//1f(x) == ½ ½ ƒ(2) = 1f(x) = 11. F(2)=442 17(x) = 23. 7(2) = 1/13 - 11=8 4The taylor series is11(x-2)+24 * 1!4 * 2!1(x − 2)²+.....

Accepted Answer

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