Math Problem Statement

m=4 n=5

Solution

Let's recalculate the limit carefully using m=4m = 4 and n=5n = 5:

The given limit is:

[ \lim_{x \to \infty} \left( \frac{mx + n}{mx - n} \right)^{(m+n)x

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Math Problem Analysis

Mathematical Concepts

Limits
Exponential Functions
Infinity Behavior in Calculus

Formulas

lim_{x \to \infty} \left( \frac{mx + n}{mx - n} \right)^{(m+n)x}
Simplification of rational functions at infinity

Theorems

Properties of Limits
Exponential Growth and Decay Theorem

Suitable Grade Level

Grades 11-12 or early university calculus

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