given-a-sequence-defined-by-3n-2n-5-n-1-does-this-sequence-converge-or-diverge-explain-

Question Number 76577 by Rio Michael last updated on 28/Dec/19

g i v e n a s e q u e n c e d e f i n e d b y {\frac{3 n}{2 n + 5}}_{n = 1}^{\infty}, d o e s t h i s

s e q u e n c e c o n v e r g e o r d i v e r g e, e x p l a i n

Answered by john santu last updated on 28/Dec/19

c o n v e r g e . \lim_{x \to\propto} {\frac{3 n}{2 n + 5}} = \frac{3}{2}

s o {\frac{3 n}{2 n + 5}} \underset{n = 1}{\overset{\propto}{}} c o n v e r g e t o \frac{3}{2}