How do you know if a limit does not exist or if it is infinite? This is calculus

exists if and only if it is equal to a number. Note that ∞ is not a number. For example limx→01x2=∞ so it doesn't exist. When a function approaches infinity, the limit technically doesn't exist by the proper definition, that demands it work out to be a number.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11