Homework SourseLet Tsub6x be the taylor polynomial of degree 6 of the funct
Let Tsub6(x): be the taylor polynomial of degree 6 of the function f(x)=ln(1+x) at a=0.
Suppose you approximate f(x) by Tsub6(x), find all positive values of x for which this approximation is within 0.001 of the right answer. (Hint: use the alternating series approximation.)
please show work so I can understand. Thank you!
Suppose you approximate f(x) by Tsub6(x), find all positive values of x for which this approximation is within 0.001 of the right answer. (Hint: use the alternating series approximation.)
please show work so I can understand. Thank you!
Solution
x-x^2/2+x^3/3-x^4/4+x^5/5-x^6/6+x^7/7-x^8/8+x^9/9-x^10/10+O(x^11) see this http://www.wolframalpha.com/input/?i=taylor+polynomial+f%28x%29%3Dln%281%2Bx%29+at+a%3D0.
