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Mathematics
Mathematics
Problem
Let
P
(
x
)
=
k
+
2
x
P(x)=k+2x
P
(
x
)
=
k
+
2
x
be a linear approximation of
f
(
x
)
=
e
x
f(x)=e^{x}
f
(
x
)
=
e
x
near
x
=
0
x=0
x
=
0
. Determine the value of
k
k
k
that guarantees
P
P
P
matches
f
f
f
at
x
=
0
x=0
x
=
0
. a)
0
0
0
b)
1
1
1
c)
2
2
2
d)
e
−
2
e-2
e
−
2
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