At a sandwich shop, any sandwich costs $4.50, plus $0.25 for each extra topping.

Mathematics

2 answers:

katrin [286]3 years ago

6 0

Answer:

A. 5.25 B. 7.75 C. 8

Step-by-step explanation:

A. 4.50 + (0.25 times 3)

B. 4.50 + (0.25 times 13)

C. 2.00 divided by 0.25

Reptile [31]3 years ago

4 0

Answer:

a)$5.25

b)$7.75

c)sorry i’m not sure

Step-by-step explanation:

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Now, for the limit as $n\to\infty$ to be equal to $\dfrac32$ is to say that for any $\varepsilon>0$ , there exists some $N$ such that whenever $n>N$ , it follows that

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From this inequality, we get

$\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|=\left|\dfrac{(6n+2)-(6n-3)}{2(2n-1)}\right|=\dfrac52\dfrac1{|2n-1|}$
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$\implies n\dfrac12+\dfrac5{4\varepsilon}$

As we're considering $n\to\infty$ , we can omit the first inequality.

We can then see that choosing $N=\left\lceil\dfrac12+\dfrac5{4\varepsilon}\right\rceil$ will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that $N\in\mathbb N$ .