Limit at Infinity of Exponential Functions

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Evaluate $\displaystyle \lim_{x \to +\infty} \frac{2 \cdot 3^x - 7^x}{5^x + 3^x}$ .

$\displaystyle -\frac{7}{5}$

$\displaystyle \frac{2}{5}$

$\displaystyle 0$

nonexistent

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