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Byju's Answer
Standard XII
Mathematics
Indeterminate Forms
limx → 0 ∑100...
Question
lim
x
→
0
100
∑
r
=
1
[
x
r
]
1
+
|
x
|
=
A
0
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B
1
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C
−
1
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D
does not exist
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Solution
The correct option is
D
does not exist
lim
x
→
0
100
∑
r
=
1
[
x
r
]
1
+
|
x
|
L. H. L.
=
lim
x
→
0
−
[
x
]
+
[
x
2
]
+
[
x
3
]
+
.
.
.
+
[
x
100
]
1
−
x
=
−
1
+
0
−
1
+
0
−
1
+
.
.
.
+
0
1
−
0
=
−
50
R.H.L.
=
lim
x
→
0
+
[
x
]
+
[
x
2
]
+
[
x
3
]
+
.
.
.
+
[
x
100
]
1
+
x
=
0
+
0
+
.
.
.
+
0
1
+
0
=
0
L.H.L.
≠
R. H. L.
⇒
Limit does not exist.
Suggest Corrections
1
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