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Lilit [14]
3 years ago
5

Can anyone help me understand how to evaluate the limit of this complex fraction?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

-1/9

Step-by-step explanation:

\lim_{x \to 3} \frac{1/x-1/3}{x-3}

For simplicity, let's multiply top and bottom by 3x:

\lim_{x \to 3} \frac{3-x}{3x(x-3)}

Factor out a -1:

\lim_{x \to 3} \frac{-(x-3)}{3x(x-3)}

Divide top and bottom by x−3:

\lim_{x \to 3} \frac{-1}{3x}

Evaluate the limit:

\frac{-1}{3(3)}\\-\frac{1}{9}

It's important to note that the function doesn't exist at x = 3.  As x <em>approaches</em> 3, the function <em>approaches</em> -1/9.

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3 years ago
P=175e^-0.090times 25
zysi [14]

Here's my interpretation of your equation:


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3 0
3 years ago
What number is 145% of 80?
kherson [118]
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145%*80=116
7 0
3 years ago
Free Brainly points!!!!
exis [7]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Thrice the difference between X and 4 is less than 9
NeX [460]
Thrice means three, so 3 times the difference of x and 4.

3(x - 4) < 9
multiply 3 by all in parentheses
(3*x) + (3*-4) < 9
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add 12 to both sides
3x < 21
divide both sides by 3
x < 7

ANSWER: x < 7

Hope this helps! :)
4 0
3 years ago
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