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Can someone please explain this to me? I’m really confused on how to find the limit with the piecewise function.

Can someone please explain this to me? I’m really confused on how to find the limit-example-1
User SKLTFZ
by
6.1k points

1 Answer

3 votes

Answer: 2

Explanation:

You only need to evaluate at the limit point.

f(x) = 4 - x ; x ≠ 2

Consider the solution if x = 2 (because the limit is x → 2)

f(2) = 4 - (2)

= 2

We know that f(x) = 0 ; x = 2

f(2) = 0

but we are looking for the y- value it approaches - not the y-value it is.

Look at the graph. You will see that as x gets closer and closer to 2, the y-value gets closer and closer to 2. This is the limit.

Can someone please explain this to me? I’m really confused on how to find the limit-example-1
User Hakatashi
by
6.5k points
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