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(1 point) For the function f graphed below, find the following limits:

1. lim f(x) =

x->0-

2. lim f(x) =

x->0+

3. lim f(x) =

x->2

4. lim f(x) =

x-> infinity

5. lim f(x) =

x->-infinity

1 point For the function f graphed below find the following limits 1 lim f x x 0 2 lim f x x 0 3

Answer :

Final answer:

The limits to the given function are as follows:

1. ∞

2. -∞

3. ∞

4. 1

5. -∞

Explanation:

The limit of a function, denoted as lim f(x), represents the value that the function approaches as x gets closer to a particular point.

In this problem:

As x approaches 0 from the left (x->0-), the function goes to positive infinity.

As x approaches 0 from the right (x->0+), the function goes to negative infinity.

At x = 2:

As x approaches 2 from both the left and right (x->2), the function goes to infinity.

Further:

As x goes to negative infinity (x->-∞), the function approaches negative infinity.

As x goes to positive infinity (x->∞), the function approaches 1 when coming from the left side and negative infinity from the right side.

Learn more about Limits of Functions here:

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Rewritten by : Barada

The limits to the given function are as follows:

1. ∞

2. -∞

3. ∞

4. 1

5. -∞

What is a limit?

A limit is given by the value of function f(x) as x tends to a value.

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 https://brainly.com/question/26270080

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