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# Python | sympy.limit() method

• Last Updated : 11 Aug, 2021

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 sympyfrom sympy import * x = symbols('x')expr = sin(x)/x;   print("Expression : {}".format(expr))     # Use sympy.limit() methodlimit_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 sympyfrom sympy import * x = symbols('x')expr = sin(3 * x)/x;   print("Expression : {}".format(expr))     # Use sympy.limit() methodlimit_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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