Answer:
Refer the attached figure.
Vertical asymptote
Step-by-step explanation:
Given : Function ![y=\cot (\frac{\pi}{4}x)](https://tex.z-dn.net/?f=y%3D%5Ccot%20%28%5Cfrac%7B%5Cpi%7D%7B4%7Dx%29)
To find : Sketch the given function and find the vertical asymptotes of the function ?
Solution :
Function ![y=\cot (\frac{\pi}{4}x)](https://tex.z-dn.net/?f=y%3D%5Ccot%20%28%5Cfrac%7B%5Cpi%7D%7B4%7Dx%29)
Sketch the function on the graph.
Refer the attached figure.
Now, Vertical asymptote is defined as
On a graph, a line which is approached by a curve but never reached.
i.e. on different values of x y tends to infinity.
When we see the graph the vertical asymptote of the function is given by
for n=0,1,2,3...