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Byju's Answer
Standard XII
Mathematics
Definite Integral as Limit of Sum
If y=x13.x1...
Question
If
y
=
x
1
3
.
x
1
9
.
x
1
27
.
.
.
.
.
.
∞
, then
y
=
A
x
1
/
3
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B
x
2
/
3
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C
x
1
/
2
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D
x
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Solution
The correct option is
C
x
1
/
2
y
=
x
1
3
.
x
1
9
.
x
1
27
.
.
.
.
.
.
∞
=
x
1
3
+
1
3
2
+
1
3
3
+
.
.
.
.
.
.
.
.
∞
=
x
1
/
3
1
−
1
/
3
=
x
1
/
2
Hence, option 'C' is correct.
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