Question

1. Find T5(x): Taylor polynomial of degree 5 of the function f(x)=cos(x) at a=0.
T5(x)=  
Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.00054 of the right answer. Assume for simplicity that we limit ourselves to |x|≤1.
|x|≤ =

2. Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series for the binomial:

  (1+7x)^1/4

The first nonzero term is:    

The second nonzero term is:    

The third nonzero term is:    

The fourth nonzero term is:

Answer 1