Write down the equation for the function.
For example:
y = f(x) = ( x^2 -2x +3 ) / ( x - 3 )
Set up the limit with the value approached by the input "x".
From the example:
LIM [ ( x^2 -2x +3 ) / ( x - 3 ) ]
(x -> +3 )
Factorize and reduce the function as much as possible. Use factorization and algebraic methods.
( x^2 -2x +3 ) / ( x - 3 ) =
[ ( x + 1) ( x - 3 ) ] / ( x - 3 ) =
( x + 1 )
Replaced the reduced expression on the limit. Solve the limit by replacing the value of the variable ( x ) with the value it approaches ( x -> +3, replace "x" with +3).
LIM [ ( x + 1 ) ]
(x -> +3 )
( +3 +1 ) =
4
LIM [ ( x + 1 ) ] = 4
(x -> +3 )