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WBJEE 2013 Math Solved Paper
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© examsnet.com
Question : 22
Total: 80
The limit of
1000
Σ
n
=
1
(
−
1
)
n
x
n
as x → ∞
does not exist
exists and equals to 0
exists and approaches + ∞
exists and approaches - ∞
Validate
Solution:
l
i
m
x
→
∞
(- x +
x
2
-
x
3
+
x
4
..... +
x
1000
)
=
l
i
m
x
→
∞
( - x)
(
(
−
x
)
1000
−
1
)
−
x
−
1
=
l
i
m
x
→
∞
x
100
−
x
x
+
1
= + ∞
© examsnet.com
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