Here is an example of an airplane problem in two parts. In Part 1, I show how to find the actual speed of a plane in wind. In Part 2, I show how to find the angle it is heading.
If you have any questions about either of these explanations or about these kinds of problems in general, please leave your… Continued
As you can see from the solution below, one of the keys to problems like this is to find a way to get x in the denominator. This is because plugging ∞ into the bottom of a fraction leaves you with zero rather than with ∞.
(Click image to enlarge.)
To get this problem into the proper form to solve, you need… Continued
In this problem, because we are plugging in -∞, we don’t want x in the denominator to begin with. Once we plug -∞ in, the negative sign turns the whole thing into a fraction for you.
(Click image to enlarge.)
This site is amazing for calculating all kinds of math problems.
For example, try entering:
lim as x -> – infinity [e^x + e^(-x)]/[e^x - e^(-x)]
