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 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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