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ladessa [460]
3 years ago
12

What is the right-hand limit of the function `f(x) = (x^2 + 2x - 3)/(x - 3)` as x approaches 2?

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

\displaystyle\\\lim_{x\to 2}\dfrac{x^2+2x-3}{x-3}=\dfrac{2^2+2\cdot2-3}{2-3}=\dfrac{5}{-1}=-5

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Average rate of change of the function =\frac{75}{2}

Solution:

Given function: f(x)=5(2)^{x} from x = 1 to x = 5

Substitute x = 1 and x = 5 in f(x).

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Let us find the average rate of change of the function.

Average rate of change

                      $=\frac{f(b)-f(a)}{b-a}

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                     $=\frac{f(5)-f(1)}{5-1}

Substitute f(5) and f(1).

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Average rate of change of the function =\frac{75}{2}

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4 years ago
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KengaRu [80]

Answer:

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In this case we know that the temperature dropped -30F in a given time, then we already know that:

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