How do you determine the limit of #(x+5)/(x-2)# as x approaches 2+?
1 Answer
The limit tends to
Explanation:
We have to solve
Directly inputting will not work, as the denominator will give
So we make
For example, we take
For
For
And so on.
We see a pattern. The closer we get to
This is because the division of a number by an extremely small one gives us an extremely large answer.
Therefore, we can say:
However, the questions asks us to get to two from values larger than it, as shown in the examples. This gives us a positive denominator and numerator, showing us that, when
So we say