﻿ Definition and examples asymptote | define asymptote - geometry - Free Math Dictionary Online

# Asymptote

## Definition of Asymptote

Asymptote is a line that a graph gets closer and closer to, but never touches or crosses it.

### Solved Example on Asymptote

#### Ques: Find the vertical asymptote of the graph of the function .

##### Choices:
A. x = - 1
B. x = 1
C. x = 0
D. x = 2
Correct Answer: B

#### Solution:

Step 1: is clearly discontinuous at x = 1.
Step 2: If then the line x = c, is the vertical asymptote. [Definition.]
Step 3: [For the vertical asymptote.]
Step 4: [Numerator is positive, denominator is a very small positive number.]
Step 5: [For the vertical asymptote.]
Step 6: [Numerator is positive, denominator is a very small negative number.]
Step 7: So, x = 1 is the vertical asymptote of the curve f (x).
Translate :

Please provide your email for a free trial as a Teacher or Student. This trial will be valid for the current academic year (2015-16). An email to this address includes the password to login to the full web application. You will also receive other promotional emails as and when such deals become available.

I am a Teacher Student