Calculus Examples

Find the Asymptotes (3x square root of x)/(x^(1/2))
Step 1
Find where the expression is undefined.
Step 2
The vertical asymptotes occur at areas of infinite discontinuity.
No Vertical Asymptotes
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.
No Vertical Asymptotes
No Horizontal Asymptotes
Cannot Find Oblique Asymptotes
Step 6