Find lim x->infinity (x^2-1)/x or state that the limit does not exist.
I'm not good at all with limits.
How do you make a stem and leaf plot if one of the numbers is 100? All of my numbers are 2 digits ecept 100.
can a number on a stem and leaf plot go over the numbers one and ten
No problem! I'll help you understand how to find the limit of the given function as x approaches infinity.
To find the limit, you need to determine the behavior of the function as x becomes infinitely large.
Let's analyze the given function: f(x) = (x^2 - 1) / x
As x approaches infinity, the terms that dominate the function become more significant. We can drop the lower-order terms (-1 / x) because their contribution becomes negligible compared to the highest-order term (x^2 / x = x).
Now, the function can be simplified: f(x) ≈ x^2 / x = x
So, as x approaches infinity, the function f(x) becomes equal to x. In other words, the limit of f(x) as x approaches infinity is infinity.
Therefore, the limit of (x^2 - 1) / x as x approaches infinity is infinity.
I hope this explanation helps you understand how to find the limit in this case. Let me know if you have any further questions!