Python | sympy.limit() method

With the help of sympy.limit() method, we can find the limit of any mathematical expression, 
e.g., 

(1)

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