What is $lim_(x->+oo) x/(1-2x)$ ?

Question

1883 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-14T06:16:22

$lim_(x->oo)x/(1-2x)=-1/2$

$\ \ \ \ \ \ lim_(x->oo)x/(1-2x)$

Dividing both the numerator and denominator by $x$ :
$=lim_(x->oo)1/(1/x-2)$

Now, as $x->oo$ , the above limit slowly converges to $-1/2$ .

What is lim_(x->+oo) x/(1-2x)lim_(x->+oo) x/(1-2x)?