Undergraduate

( b ) Evaluate f and these polynomials at x = 4 , 2 , and . ( Round your answers to four decimal places.

(b)
Evaluate f and these polynomials at
x =
4
,
2
,
and .(Round your answers to four decimal places.)
x
f
T0= T1
T2= T3
T4= T5
T6
4
2
(c)
Comment on how the Taylor polynomials converge to
f(x).
As n increases,
Tn(x)
is a good approximation to
f(x)
on a ---Select--- larger and larger smaller and smaller constant interval.

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