Answer:

Step-by-step explanation:
We want to evaluate the limit:

To do so, we can divide everything by <em>x</em>². So:

Now, we can apply direct substitution:

Any constant value over infinity tends towards 0. Therefore:

Hence:

Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3<em>x</em>²<em>, </em>and in the denominator it is <em>x</em>². So:

Simplify:

The limit of a constant is simply the constant.
We acquire the same answer.
20/80=1/4
1/4=0.25
0.25*100=25
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Hope this helps!
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Answer:
20 or 40 or 50
(there are many others)
Step-by-step explanation:
A counterexample is an example that shows the statement is not true. The statement in this question is that if a number is a multiple of 10 (10, 20, 30, 40, 50, 60...) then it is a multiple of 30. Some numbers are, like 60 and 90, but not all numbers. So for example (counterexample) 20 is a multiple of 10 but NOT a multiple of 30.
40 is a multiple of 10, but NOT a multople of 30.
50 is a multiple of 10, but NOT a multiple of 30.