Answer:
y=0
Step-by-step explanation:
Hello!
To solve this problem and find the asymptote you must find the value of x, for which F (x) (or y) becomes infinite, for this we solve the equation for X
![y=\frac{3}{5X} \\X=\frac{3}{5y}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B5X%7D%20%5C%5CX%3D%5Cfrac%7B3%7D%7B5y%7D)
As you can see if Y takes a value of zero, then X would tend to be an infinitely large value so we conclude the horizontal asymptote is y = 0, I also attached the graph!
Answer:
4
Step-by-step explanation:
lim (x^2 - 4) / (x - 2)
x --> 2
When we plug x =2, we get
(2^2 - 4) / (2 - 2)
= (4 - 4)/(2 - 2)
= 0 /0
Which is undefined.
Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.
When we differentiate x^2 -4, we get 2x
When we differentiate x -2, we get 1
lim 2x/1
x --> 2
Now apply, the limit x = 2
2(2)/1
= 4/1
= 4
Therefore, limit of this function is 4, when x tends to 2.
Hope you will understand the concept.
Thank you.
Answer:
(2,-1)
Step-by-step explanation:
If you plug each answer into the equation, (2,-1) is the only answer that makes the equation true. Hope this helps!