Determine whether the given sequence $\{a_n\}$ is convergent by deciding on monotonicity and boundness. Explain your answer.
$\{a_n\}=\frac{n+1}{2n+1}$
Determine whether the given sequence $\{a_n\}$ is convergent by deciding on monotonicity and boundness. Explain your answer.
$\{a_n\}=\frac{n+1}{2n+1}$
Your best bet is to express $a_n = A + \dfrac{B}{2n+1}$ In this way you can prove boundedness and monotonicity.