Question #cddb4

1 Answer
Jun 21, 2016

1/212

Explanation:

To do this, factor out the highest degree of xx from the numerator and denominator.

lim_(xrarroo)(x-1)/(2x+1)=lim_(xrarroo)(x(1-1/x))/(x(2+1/x))=lim_(xrarroo)(1-1/x)/(2+1/x)

In evaluating the limit, note that as x approaches oo, 1/x will approach 0.

So, when the limit is evaluated, the constants remain, and the 1/x goes to 0:

lim_(xrarroo)(1-1/x)/(2+1/x)=(1-0)/(2+0)=1/2