Linear Functions do have a "limit" while higher order functions do?

Question

Linear Functions do not have a limit

Answer 1

Yes, linear functions have limits.

For example, the limit of 3x+2 as x approaches 4 is 14. Here's how to prove it:

For every e>0, choose d=e/3. Then, if 0<|x-4| |(3x+2)-14|=|3x-12|=3|x-4|
<3d=e.

For this situation, we say that the limit of a function f(x) as x p\approaches a is L is for every tolerance e>0, there is a tolerance d>0 so that whenever 0<|x-a| |f(x)-L|

Answer 2

you know linear functions are straight line graph so the very concept of limit is useless in a sense because limit of ax+b at
x--> 3 is simply obtained by putting x=3 in the equation .
limit is most important when the exact value of the function is difficult to find out but limiting value can be found , which is never the case with linear functions which have a definite value for any finite value of x.

Answer 3

I think you need to rephrase this question.

"Limits" for functions are normally expressed approaching specific points (or infinity).

A simple example would be the limit of for the function f(x)=1/x as x approached infinity.