Expand everything in the limit:

We have
approaching 0, and in particular
, so we can cancel a factor in the numerator and denominator:

Alternatively, if you already know about derivatives, consider the function
, whose derivative is
.
Using the limit definition, we have

which is exactly the original limit with
. The derivative is
, so the value of the limit is, again, -14.
Answer:

Needed 7 weeks
Step-by-step explanation:
Let x be the number of weeks.
<u>Nick</u>
- weighs 160 pounds;
- is gaining about 3 pounds per week;
- gains 3x pounds in x weeks;
- weighs 160 + 3x pounds after x weeks.
<u>Adam</u>
- weighs 195 pounds;
- is losing about 2 pounds per week;
- loses 2x pounds in x weeks;
- weighs 195 - 2x pounds in x weeks.
The equation that can be used to find the number of weeks that it will take them to weigh the same amount is

Solve this equation:

Virtue based ethics holds that character is more important than actions.
Virtue based ethics is the aspect of ethics that holds that the moral character of a person if of more paramount importance than the person's actions and its consequences.
Hence, the true statement about virtue based ethics from the options is that; "according to the principles of virtue-based ethics, character is more important than actions."
Learn more about ethics: brainly.com/question/25784680