Answer:
Step-by-step explanation:
We want to evaluate the following limit.
We need to recall that, limit of a sum is the sum of the limit.
So we need to find each individual limit and add them up.
Recall that, as and the limit of a constant, gives the same constant value.
This implies that,
This gives us,
The correct answer is D
Answer:
or
(depending on your teacher's format preference)
Step-by-step explanation:
<h3><u>Proportionality background</u></h3>Proportionality is sometimes called "variation". (ex. " 'y' varies inversely as 'x' ")
There are two main types of proportionality/variation:
Every proportionality, regardless of whether it is direct or inverse, will have a constant of proportionality (I'm going to call it "k").
Below are several different examples of both types of proportionality, and how they might be stated in words:
From these examples, we see that two things:
In our question, y is inversely proportional to x, so the equation we're looking at is the following .
It isn't yet clear what the constant of proportionality "k" is for this situation, but we are given enough information to solve for it: "When y=12, x=5."
We can substitute this known relationship pair, and find the "k" that relates this pair of numbers:
<h3><u>Solving for k, and finding the general equation</u></h3>General Inverse variation equation...
Substituting known values...
Multiplying both sides by 5...
Simplifying/arithmetic...
So, for our situation, k=60. So the inverse proportionality relationship equation for this situation is .
The way your question is phrased, they may prefer the form: