evaluate-the-limit-of-the-sequence-bn-bn-defined-by-bnn24nn-bn-sqrtn2-4n-n-bnn24

Question

Evaluate the limit of the sequence {bn} \{b_n\}  defined by bn=n2+4n−nb_{n}=\sqrt{$$n^2 + 4n$$}-n as n→∞ n 	o \infty , or state if the sequence diverges.

Accepted Answer

22

Answer

00

Answer

11

Answer

Diverges

Evaluate the limit of the sequence {bn} \{b_n\} defined by bn=n2+4n−nb_{n}=\(\sqrt{n^2 + 4n}\)-n as n→∞ n \(\to\) \(\infty\) , or state if the sequence diverges.

Evaluate the limit of the sequence ${b_{n}}$ defined by $b_{n} = \sqrt{n^{2} + 4 n} - n$ as $n \to \infty$ , or state if the sequence diverges.