Does the limit exist for a linear function as x approaches infinity?

Answer 1

Value of linear function will tend to ±∞ depending upon the sign of coefficient of x. As ∞ is not a recognized number, we consider that the limit does not exist.

Answer 2

No. Since it is a straight line, y will continue increasing at the same rate forever.

Given the form y=ax+b, x can be found for any value of y.

Looking at a graph, you can see that the line will slope up forever, eventually passing any value you can think of (If a is negative, the line will slope down, but just look in a mirror to fix it).

Thus, the limit is infinity, which isn't really a limit.

Answer 3

a linear function has the form y=ax+b ; a and b are constants.
If x approaches infinity y is either equal to + infinte if a is >0 and -infinite if a is negative
So no limit

Answer 4

it also approaches infinity therefore not exist

Answer 5

lim x -> inf. mauss is right