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प्रश्न
Answer the following:
Find approximate value of `1/4.08` upto four places of decimals
उत्तर
`1/4.08` = (4.08)–1
= (4 + 0.08)–1
= [4 (1 + 0.02)]–1
= 4–1 (1 + 0.02)–1
= `1/4 [ 1 + (-1)(0.02) + ((-1)(-1 - 1))/(2!) (0.02)^2 + ......]`
= `1/4[1 + (-1)(0.02) + ((-1)(-2))/2 (0.02)^2 + ......]`
= `1/4 (1 - 0.02 + 0.0004 + ....)`
= `0.9804/4`
= 0.2451
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