Substitution makes it easier to find limits in math. It lets us directly look at a function at a certain point. For functions that are continuous, about 90% of limit problems can be solved just by using substitution.
Find the Limit: Figure out which value you need to evaluate, like this: ( L = \lim_{x \to a} f(x) ).
Substitute: Simply plug in ( a ) into ( f(x) ).
Evaluate: If ( f(a) ) gives us a number, that number is the limit.
This method is quick and avoids tricky steps like factoring in most situations.
Substitution makes it easier to find limits in math. It lets us directly look at a function at a certain point. For functions that are continuous, about 90% of limit problems can be solved just by using substitution.
Find the Limit: Figure out which value you need to evaluate, like this: ( L = \lim_{x \to a} f(x) ).
Substitute: Simply plug in ( a ) into ( f(x) ).
Evaluate: If ( f(a) ) gives us a number, that number is the limit.
This method is quick and avoids tricky steps like factoring in most situations.