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Daniel [21]
3 years ago
11

What is the value of this expression when n approaches infinity?

Mathematics
2 answers:
Georgia [21]3 years ago
7 0

Answer:

35 I just took the quiz

Step-by-step explanation:

topjm [15]3 years ago
4 0

ANSWER

C. 35

EXPLANATION

The given expression is:

15 - 35 -  \frac{85}{n}  + 55 +  \frac{75}{2n}  +  \frac{15}{2 {n}^{2} }

As

n \to \:  \infty

\frac{k}{n}  \to0

where k is a constant.

This implies that,

15 - 35 -  \frac{85}{n}  + 55 +  \frac{75}{2n}  +  \frac{15}{2 {n}^{2} }  = 15 - 35 -  0 + 55 +  0+  0 =35

The correct answer is C

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<u>Explanation:</u>

We need to think of this in terms of right triangles.  If Wendy is 60 feet from a tree, the base of the right triangle is 60 feet.  The height of the tree is the height of the right triangle.  The angle of elevation is the one from the ground at her feet to the top of the tree and then to the bird.  Let's start with the top of the tree first.

She's 60 feet away, we have the angle of elevation as 25 degrees, and we are looking for the height of the tree.  In regards to the angle, the base of 60 is adjacent, and the height of the tree is opposite.  The tangent ratio is height / base.

Let x be the height of the tree.

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50 - 33 = 17 feet

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