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The number is .
Consider the function as .
Use linear approximation at to find out the value of the number
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Linear approximation of the function is .
Consider .
Differentiate on each side with respect to .
Substitute in above function.
The function is .
Substitute in the function.
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Linear approximation at is
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Substitute corresponding values in linear approximation equation.
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The corresponding linear approximation is .
Find approximate value for .
Here, .
Approximate value for is
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Approximate value for is
.