What is the limit as #x# approaches infinity of #x#?

1 Answer
Mar 2, 2018

Answer:

#Lim_(x->oo)x=oo#

Explanation:

Break the problem down into words: "What happens to a function, #x,# as we continue increasing #x# without bound?"

#x# would also increase without bound, or go to #oo.#

Graphically, this tells us that as we continue heading right on the #x#-axis (increasing values of #x,# going to #oo)# our function, which is just a line in this case, keeps heading upwards (increasing) with no restrictions.

graph{y=x [-10, 10, -5, 5]}