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Given the graph of F(x) provided below find the limit

Given the graph of F(x) provided below find the limit-example-1
User Prosper
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Sure, I can try to answer the first question. The limit of a function is the value that the function approaches as the input gets closer to a certain point. In this case, the point is x = 2. To find the limit, we need to look at the graph and see what value f(x) is getting close to as x approaches 2 from both sides.

From the left side, we can see that f(x) is decreasing from 2 to 0 as x goes from 0 to 2. From the right side, we can see that f(x) is increasing from 0 to 2 as x goes from 2 to 5. Therefore, the limit of f(x) as x approaches 2 does not exist, because f(x) does not approach a single value. We can write this as x→2lim​f(x)=DNE

where DNE stands for does not exist.

I hope this helps you understand the concept of limits better.

User Cadavre
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