Find the taylor polynomial t1(x) for the function f(x)=cos(x) based at b= π/6.
let a be a positive real number and let j be the closed interval [ π/6−a, π/6+a].
use the tangent line error bound to verify that
for all x in j.
use this error bound to find a value of a so that
for all x in j. (round your answer to four decimal places.)
25 and -31
notice that if all the negatives were positive, you would have the arithmetic sequence 1, 7, 13, 19, on and on, adding 6 every time. so basically we have a geometric and arithmetic sequence combined, with the geometric sequence making it positive, and negative, and the arithmetic sequence adding 6 every time. this means the answer(s) are 25 and -31.
let a be a pos...