Evaluate lim x- p x 7 - p 7 x - p -

Let L=lim _ x→ p x ^ 7 p ^ 7 x ^ #160; p ^ #160; #160; The expression takes the form 00. Using L hospitals Rule, L=lim _ x→ p 7x^61=7 ...

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Factorization Method Form to Remove Indeterminate Form

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Question

Evaluate $lim x \to p \frac{x^{7} - p^{7}}{x - p}$ .

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lim x \to a \frac{x^{7} - a^{7}}{x - a}

lim x \to 2 \frac{x^{\frac{5}{2}} - 2^{\frac{5}{2}}}{x^{\frac{7}{2}} - 2^{\frac{7}{2}}}

\int \frac{x^{7}}{x - 1} d x

lim x \to \infty \frac{x^{7} - a^{7}}{x - a}

x = \frac{\sqrt{7}}{5} and \frac{5}{x} = p \sqrt{7}

\frac{7}{25}

\frac{25}{7}

\frac{7}{15}

\frac{15}{7}

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