Python | sympy.limit() method

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 opeartion 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:

# 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:

# 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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