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artcher [175]
3 years ago
10

Determine whether the given limit leads to a determinate or indeterminate form. HINT [See Example 2.]

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

The limit leads to a determinate form.

\lim_{x \to \infty} \frac{2}{-x+3} = 0

Step-by-step explanation:

The following are indeterminate forms.

\frac{0}{0} \ and \ \frac{\infty}{\infty}

Given the limit of a function \lim_{x \to \infty} \frac{2}{-x+3}, to show if the given limit is determinate or indeterminate form, we will need to substitute the value of -\infty into the function as shown,

\lim_{x \to \infty} \frac{2}{-x+3}\\= \frac{2}{-(-\infty)+3}\\= \frac{2}{\infty+3}\\=  \frac{2}{\infty}\\\\Generally, \ \frac{a}{\infty} =0

where a is any constant, therefore \frac{2}{\infty} = 0

Since we are able to get a finite value i.e 0, this shows that the limit does exist and leads to a determinate form

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The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function T(t)=4t/t^2+1, where trepresents
elena-14-01-66 [18.8K]
The meaning of the horizontal asymptote is that the increase in a person's body temperature is a constant value when long time passes.

You can obtain that value by calculating the limit of the function when t → ∞:

                 4t
T(t) =  ------------- => Lim T(t) when t → +∞ = 0.
             t^2 + 1

That means that at long term the Temperature tends to remain at 98.6°F.
7 0
3 years ago
Pls help I’ll brainlest
lora16 [44]

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

5 0
3 years ago
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tensa zangetsu [6.8K]

Answer:

C

Step-by-step explanation:

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Answer:

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Step-by-step explanation:


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Answer:

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Step-by-step explanation:

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