The value of $\mathop {\lim }\limits_{x \to \infty } \frac{{{5^{x + 1}} - {7^{x + 1}}}}{{{5^x} - {7^x}}}$, is

JEE MATHEMATICS MCQ: LIMITS

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The value of

\lim\limits_{x \to \infty } \frac{{{5^{x + 1}} - {7^{x + 1}}}}{{{5^x} - {7^x}}}

, is

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Correct option: C

Option C (7) is correct because, as x approaches infinity, the term (5/7)^x approaches 0, simplifying the expression to 7.

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