Find the limit.
lim x→∞ sqrt(x^2+9)
by the "just look at it" theorem
lim x→∞ sqrt(x^2+9)
= x , so there is no limit
e.g. let x = 1,000,000 ,using my calculator I got 1,000,000
lim x→∞ sqrt(x^2+9)
lim x→∞ sqrt(x^2+9)
= x , so there is no limit
e.g. let x = 1,000,000 ,using my calculator I got 1,000,000