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MaRussiya [10]
3 years ago
7

Find the limit and confirm using the Sandwich Theorem: lim x->infinity (1 - cosx) / (x^2)

Mathematics
1 answer:
sergejj [24]3 years ago
6 0
We are given with the expression <span> (1 - cos x) / (x^2)</span><span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. cos infinity is 1. The answer is zero over zero. This is indeterminate so we derive the terms according to L'hopital's rule. The derivative is sin x /2x. sin infinity is 1. 1/infinity is equal to zero. Hence the answer is zero.</span>
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Answer:

Step-by-step explanation:

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9× 3 1/2=<br> Which choice is the most reasonable answer?
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Answer:

31.5 or 63/2

Step-by-step explanation:

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4 0
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What is the equation that represents the sequence in this problem ? Find the price after the 8th month
AVprozaik [17]

ANSWER

\begin{gathered} a_n=ar^{n\text{ - 1}} \\ a_8\text{ = \$38.26} \end{gathered}

EXPLANATION

The problem represents a geometric progression.

The general form of a geometric sequence is:

a_n=ar^{n\text{ - 1}}

where a = first term

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The first term from the table is the first price (for the first month). That is $80.00

To find the common ratio, we divide a term by its preceeding term.

Let us divide the price of the second month from the first.

We have:

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\begin{gathered} a_8\text{ = 80 }\cdot0.9^{(8\text{ - 1)}} \\ a_8\text{ = 80 }\cdot0.9^7 \\ a_8\text{ = \$38.26} \end{gathered}

5 0
1 year ago
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