given a sequence defined by {((3n)/(2n+ 5))}_(n=1) ^∞ , does this sequence converge or diverge, explain


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Question Number 76577 by Rio Michael last updated on 28/Dec/19
$given a sequence defined by {((3n)/(2n+ 5))}_(n=1) ^∞ , does this sequence converge or diverge, explain$
$g i v e n a s e q u e n c e d e f i n e d b y {\frac{3 n}{2 n + 5}}_{n = 1}^{\infty}, d o e s t h i s$ $s e q u e n c e c o n v e r g e o r d i v e r g e, e x p l a i n$
	Answered by john santu last updated on 28/Dec/19
	$converge. lim_(x→∝) {((3n)/(2n+5))}=(3/2) so {((3n)/(2n+5))} _(n=1) ^∝ converge to (3/2)$
	$c o n v e r g e . \lim_{x \to\propto} {\frac{3 n}{2 n + 5}} = \frac{3}{2}$ $s o {\frac{3 n}{2 n + 5}} \underset{n = 1}{\overset{\propto}{}} c o n v e r g e t o \frac{3}{2}$
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