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Question

The approximate value of (1.999)5 is 


A
31.92
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B
31.82
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C
31.72
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D
31.62
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Solution

The correct option is A 31.92
Let y=x5Let x=2 and Δx=0.001dydx=5x4Δy=dydxΔxΔy=5x4×(0.001)(Δy)x=2=5(2)4×(0.001)=0.08y=(2)5=32(1.999)5=y+Δy=31.92

Mathematics

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