What is a sequence? Is the sequence an = fracnsqrt5+n convergent? | Mathematics I 2078

Mathematics I20785 marksNumerical: sequence convergenceInfinite sequence and series

What is a sequence? Is the sequence $a_n = \frac{n}{\sqrt{5+n}}$ convergent? [5]

General term: $an = \dfrac{n}{\sqrt{5+n}}$ , $n \in \mathbb{N}$ - Required: definition of a sequence; determine convergence of $\{an\}$ --- A sequence is a function whose domain is the set of natural numbers $\mathbb{N}$ . It is an ordered list of numbers arranged in a definite order: $$a1, a2, a...

General term: $an = \dfrac{n}{\sqrt{5+n}}$, $n \in \mathbb{N}$ - Required: definition of a sequence; determine convergence of ${an}$ --- A sequence is a function whose domain is the set of natural numbers $\mathbb{N}$. It is an ordered list of numbers arranged in a definite order: $$a1, a2, a...