Find the order 3 Taylor polynomial
T
3
(
x
)
\displaystyle {T}_{{3}}{\left({x}\right)}
T
3
(
x
)
of function given. Use exact values.
f
(
x
)
=
(
−
5
x
+
24
)
2
1
\displaystyle {f{{\left({x}\right)}}}={\left(-{5}{x}+{24}\right)}^{{\frac{{2}}{{1}}}}
f
(
x
)
=
(
−
5
x
+
24
)
1
2
at
a
=
4
\displaystyle {a}={4}
a
=
4
.
T
3
(
x
)
=
\displaystyle {T}_{{3}}{\left({x}\right)}=
T
3
(
x
)
=
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