# What is the limit of #(2x+3)/(5x+7)# as x goes to infinity?

##### 2 Answers

Oct 4, 2015

#### Explanation:

Notice that the degree of the numerator and the denominator are

the same i.e: 1, for this and all the similar scenarios the limits is

simply the ratio of the leading coefficients of top to bottom:

Oct 4, 2015

As

#lim_(x->oo) (2x + 3)/(5x + 7) = lim_(x->oo) (2color(red)(cancel(color(black)(x))))/(5color(red)(cancel(color(black)(x))))#

#= lim_(x->oo) 2/5#

#= color(blue)(2/5)#