Use an appropriate Taylor polynomial about 0 and the Lagrange Remainder Formula to approximate sin(4/7) with an error less than 0.0001.

sin(4/7) ≈ ? (give your answer to 6 decimal places)

What is the smallest value of n for which the approximation above is guaranteed to have an error less than 0.0001? (Be careful. Think about the actual terms used in the series as well as the remainder.)

n = ?

Question

Use an appropriate Taylor polynomial about 0 and the Lagrange Remainder Formula to approximate sin(4/7) with an error less than 0.0001. 

sin(4/7) ≈ ?  (give your answer to 6 decimal places)

What is the smallest value of n for which the approximation above is guaranteed to have an error less than 0.0001? (Be careful. Think about the actual terms used in the series as well as the remainder.)

n =  ?

anonymous · Answer

how do you solve this w/o using a calculator