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Problem
Problem
The polynomial of least degree, such that
lim
x
→
0
(
1
+
x
2
+
f
(
x
)
x
2
)
1
/
x
=
e
2
\lim_{x \to 0} \left( 1 + \frac{x^2 + f(x)}{x^2} \right)^{1/x} = e^2
lim
x
→
0
(
1
+
x
2
x
2
+
f
(
x
)
)
1/
x
=
e
2
is a.
x
2
x^2
x
2
b.
x
3
+
2
x
2
x^3 + 2x^2
x
3
+
2
x
2
c.
−
x
2
+
2
x
3
-x^2 + 2x^3
−
x
2
+
2
x
3
d. None of these
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