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evaluate limx 2x5 2x4 x2 3x 2x4 2x3 3x2 5x 22
Question:
Evaluate:
lim
x
→
−
2
x
5
+
2
x
4
+
x
2
+
3
x
+
2
x
4
+
2
x
3
+
3
x
2
−
5
x
−
22
WBJEE
Updated On:
Apr 27, 2024
(A) 1
(B) 0
(C) -3/5
(D) 5/3
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Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
Explanation:
On directly putting the limits, we'll find that it is of
0
/
0
form.
So
, we shall use
L
-Hospital's rule toevaluate the limit.I.e.
=
lim
x
→
−
2
5
x
4
+
8
x
3
+
2
x
+
3
4
x
3
+
6
x
2
+
6
x
−
5
=
5
(
−
2
)
4
+
8
(
−
2
)
3
+
2
(
−
2
)
+
3
4
(
−
2
)
3
+
6
(
−
2
)
2
+
6
(
−
2
)
−
5
=
−
3
5
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