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Differentiation to Solve Modified Sum of Binomial Coefficients

lim x–>1 (x+1...

Question

lim x–>1 (x+1)⁴–2⁴/(2x+1)⁵–3⁵

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lim x \to - 1 \frac{x^{3} - 2 x - 1}{x^{5} - 2 x - 1} =

lim x \to 1 \frac{(2 x - 3) (\sqrt{x} - 1)}{2 x^{2} + x - 3}

l i m x \to \frac{1}{2}

\frac{8 x^{3} + 1}{2 x + 1}

lim x \to 1 \frac{(2 x - 3) (\sqrt{x} - 1)}{2 x^{2} + x - 3} =

lim x \to \frac{1}{2} \frac{8 x^{3} - 1}{2 x - 1}

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