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Calculating Limit of Function – A rational function – Exercise 5798

Exercise

Evaluate the following limit:

\lim _ { x \rightarrow \infty} \frac{{(3x-1)}^{20}\cdot {(2x+3)}^{10}}{{(2x-1)}^{30}}

Final Answer


\lim _ { x \rightarrow \infty} \frac{{(3x-1)}^{20}\cdot {(2x+3)}^{10}}{{(2x-1)}^{30}}={(\frac{3}{2})}^{20}

Solution

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