$\mathop {\lim }\limits_{n \to \infty } \frac{{{{3.2}^{n + 1}} - {{4.5}^{n + 1}}}}{{{{5.2}^n} + {{7.5}^n}}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim\limits_{n \to \infty } \frac{{{{3.2}^{n + 1}} - {{4.5}^{n + 1}}}}{{{{5.2}^n} + {{7.5}^n}}}

is equal to

View answer and explanation

Correct option: C

- \frac{{20}}{7}

The correct answer is C (

\frac{{ - 20}}{7}

) because the limit is evaluated by dividing by the dominant term and simplifying the expression.

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