problem based on Taylor's series for the value at(0,0) is
Answers
Answer: In mathematics, the Taylor series of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its Taylor series are equal near this point.
Step-by-step explanation:
For problems 1 & 2 use one of the Taylor Series derived in the notes to determine the Taylor Series for the given function.
f
(
x
)
=
cos
(
4
x
)
about
x
=
0
Solution
f
(
x
)
=
x
6
e
2
x
3
about
x
=
0
Solution
For problem 3 – 6 find the Taylor Series for each of the following functions.
f
(
x
)
=
e
−
6
x
about
x
=
−
4
Solution
f
(
x
)
=
ln
(
3
+
4
x
)
about
x
=
0
Solution
f
(
x
)
=
7
x
4
about
x
=
−
3
Solution
f
(
x
)
=
7
x
2
−
6
x
+
1
about
x
=
2
Solution