True or false

Suppose f (n) (4) ( 1)"n! 3" (n+ 1) and the Taylor series of if centered at 4 converges to f (I) for all T in the interval of convergence 3, 5 . Also, suppose all derivatives are largest at a - 4. Under such conditions, the fifth-degree Taylor polynomial approximates f (5 ) with error less than 0.0002. True False