Finding limits algebraically - direct substitution
Graphically finding the limit of a function is not always easy, as an alternative, we now shift our focus to finding the limit of a function algebraically. In this section, we will learn how to apply direct substitution to evaluate the limit of a function.
• if: a function f is continuous at a number a
then: direct substitution can be applied: limx→a−f(x)=limx→a+f(x)=limx→af(x)=f(a)
• Polynomial functions are continuous everywhere, therefore “direct substitution” can ALWAYS be applied to evaluate limits at any number.
No more finding limits “graphically”; Now, finding limits “algebraically”!