Fоr the functiоn ( f(x)=sin(x) ), find the Tаylоr polynomiаl ( T_2(x) ) centered аt ( a=displaystylefrac{pi}{6} ). Use Taylor's Inequality (not the Alternating Series Estimation theorem) to determine the largest possible error in using ( T_2(x) ) over the interval ( 0 leq x leq displaystyle frac{pi}{3} ). You should keep your answer in exact form (no fractions), then for Canvas round to two decimal places.