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Calculating Limit of Function – A quotient of polynomials to the power of a polynomial – Exercise 5850

Evaluate the following limit:

$\lim _ { x \rightarrow \infty} {(\frac{5x^2+6}{5x^2+7})}^{15x^2+1}$

\lim _ { x \rightarrow \infty} {(\frac{5x^2+6}{5x^2+7})}^{15x^2+1}=e^{-3}

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