How to find limit of cardiod?

Answer 1

To find the limit of a cardioid, you can analyze its parametric equations or polar form. A cardioid can be represented in polar coordinates as ( r(\theta) = 1 - \sin(\theta) ) or ( r(\theta) = 1 + \sin(\theta) ). To find the limit as ( r ) approaches a particular value, evaluate the function as ( \theta ) varies, and identify the behavior of ( r ) for specific angles. The limits typically involve examining the values of ( r ) as ( \theta ) approaches critical points, such as ( 0 ), ( \frac{\pi}{2} ), or ( \pi ).