# What is the area under #f(x)=5# in #x in[0,2] #?

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The area under the function (f(x) = 5) in the interval ([0,2]) is calculated by finding the area of the rectangle formed by the function (f(x)) and the x-axis.

Since (f(x) = 5) is a constant function, the height of the rectangle is (5). The width of the interval ([0,2]) is (2 - 0 = 2).

Therefore, the area under (f(x) = 5) in the interval ([0,2]) is (5 \times 2 = 10).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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