The limits to the given function are as follows:
1. ∞
2. -∞
3. ∞
4. 1
5. -∞
<h3>What is a limit?</h3>
A limit is given by the <u>value of function f(x) as x tends to a value</u>.
For this problem, at x = 0, we have that to the left the function goes to positive infinity, while to the right it goes to negative infinity, hence:
1. lim f(x) = ∞
x->0-
2. lim f(x) = -∞
x->0+
At x = 2, the function goes to infinity to the left and to the right, hence:
3. lim f(x) = ∞
x->2
To the left of the graph, the function goes to negative infinity, while to the right it goes to 1, hence:
4. lim f(x) = 1
x-> ∞
5. lim f(x) = -∞
x-> -∞
More can be learned about limits of functions at brainly.com/question/26270080
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