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Byju's Answer
Standard XII
Mathematics
Binomial Theorem for Any Index
The approxima...
Question
The approximate value of
(
1.0002
)
3000
is
A
1.6
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B
1.4
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C
1.8
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D
1.2
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Solution
The correct option is
A
1.6
For very large value of
n
and very small value of
x
(
1
+
x
)
n
≅
1
+
n
x
Now
(
1.0002
)
3000
≅
(
1
+
.0002
)
3000
≅
1
+
3000
×
.0002
≅
1.6
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