A) \[\frac{3}{5}\]
B) \[-\frac{4}{7}\]
C) \[-\frac{20}{7}\]
D) \[0\]
Correct Answer: C
Solution :
\[\underset{n\to \infty }{\mathop{\lim }}\,\frac{{{3.2}^{n+1}}-{{4.5}^{n+1}}}{{{5.2}^{n}}+{{7.5}^{n}}}\] \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{{{5}^{n}}\left( 6.{{\left( \frac{2}{5} \right)}^{n}}-20 \right)}{{{5}^{n}}\left( 5.{{\left( \frac{2}{5} \right)}^{n}}+7 \right)}\] \[=-\frac{20}{7}\]
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