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Problem
Problem
If
lim
x
→
0
(
x
−
3
sin
3
x
+
a
x
−
2
+
b
)
\lim_{x \to 0} (x^{-3} \sin 3x + ax^{-2} + b)
lim
x
→
0
(
x
−
3
sin
3
x
+
a
x
−
2
+
b
)
exists and is equal to zero, then a.
a
=
−
3
,
b
=
9
a = -3, b = 9
a
=
−
3
,
b
=
9
b.
a
=
−
3
,
b
=
2
a = -3, b = 2
a
=
−
3
,
b
=
2
c.
a
=
−
3
,
b
=
−
9
2
a = -3, b = -\frac{9}{2}
a
=
−
3
,
b
=
−
2
9
d. None of these
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