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Byju's Answer
Standard VI
Mathematics
Addition and Subtraction of Decimals
Prove that: 9...
Question
Prove that: (9
1/3
. 9
1/9
. 9
1/27
... ∞) = 3.
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Solution
LHS
=
9
1
3
.
9
1
9
.
9
1
27
.
.
.
∞
=
9
1
3
+
1
9
1
27
.
=
9
1
3
1
-
1
3
=
9
1
3
1
-
1
3
=
9
=
3
=
RHS
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0
Similar questions
Q.
The value of
9
1
3
.9
1
9
.9
1
27
.
.
.
.
.
.
.
.
.
.
.
upto
∞
, is
Q.
Prove that :
(
9
1
3
.9
1
9
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1
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.169
1
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.
.
.
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∞
)
=
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Q.
Prove that approximately, when x is very small,
3
(
x
+
4
9
)
1
2
(
1
−
3
4
x
2
)
1
3
2
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1
+
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x
)
2
=
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−
307
256
x
2
Q.
Prove that:
4
1
3
×
[
2
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×
3
1
2
]
÷
9
1
4
=
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Q.
Show that
(
1
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π
9
)
(
1
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3
π
9
)
(
1
+
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9
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(
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)
=
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