#1475 · Algebra · Exponentials & logarithms

Fractional Binomial Approximation

If $x$ be so small that its square and higher powers may be neglected, find the value of $\frac{( 8 + 3 x ) ^{\frac{2}{3}}}{( 2 + 3 x ) 4 - 5 x}$ .

~8 minAnswer checked instantlyBinomial TheoremFractions

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.b, No. 29

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).