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Python | sympy.limit() method

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  • Last Updated : 11 Aug, 2021
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With the help of sympy.limit() method, we can find the limit of any mathematical expression, 
e.g., 

(1)   \begin{equation*} \lim_{x\to a} f(x) \end{equation*}

 

Syntax: limit(expression, variable, value)
Parameters: 
expression – The mathematical expression on which limit operation is to be performed, i. e., f(x). 
variable – It is the variable in the mathematical expression, i. e., x 
value – It is the value to which the limit tends to, i. e., a.
Returns: Returns the limit of the mathematical expression under given conditions. 
 

Example #1:

Python3




# import sympy
from sympy import *
 
x = symbols('x')
expr = sin(x)/x;
   
print("Expression : {}".format(expr))
     
# Use sympy.limit() method
limit_expr = limit(expr, x, 0
     
print("Limit of the expression tends to 0 : {}".format(limit_expr)) 

Output:  

Expression : sin(x)/x
Limit of the expression tends to 0 : 1

Example #2:

Python3




# import sympy
from sympy import *
 
x = symbols('x')
expr = sin(3 * x)/x;
   
print("Expression : {}".format(expr))
     
# Use sympy.limit() method
limit_expr = limit(expr, x, 0
     
print("Limit of the expression tends to 0 : {}".format(limit_expr)) 

Output: 

Expression : sin(3*x)/x
Limit of the expression tends to 0 : 3

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