\[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x+3}{x+1} \right)}^{x+1}}=\] [RPET 2003, UPSEAT 2003]

\[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x+3}{x+1} \r

1.	\[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x+3}{x+1} \right)}^{x+1}}=\] [RPET 2003, UPSEAT 2003]
A.	\[{{e}^{2}}\]
B.	\[{{e}^{3}}\]
C.	e
D.	\[{{e}^{-1}}\]
Answer» B. \[{{e}^{3}}\]

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\[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x+3}{x+1} \right)}^{x+1}}=\] [RPET 2003, UPSEAT 2003]

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