Calculus Examples

Find the Asymptotes x/( square root of 2x-1)
Step 1
Find where the expression is undefined.
Step 2
Since as from the left and as from the right, then is a vertical asymptote.
Step 3
Since the limit does not exist, there are no horizontal asymptotes.
No Horizontal Asymptotes
Step 4
Use polynomial division to find the oblique asymptotes. Because this expression contains a radical, polynomial division cannot be performed.
Cannot Find Oblique Asymptotes
Step 5
This is the set of all asymptotes.
Vertical Asymptotes:
No Horizontal Asymptotes
Cannot Find Oblique Asymptotes
Step 6