Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate… Finding the equation of the tangent line at a specific point is critical in calculus. The limit equations above help in determining the slope of that line.

Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…  

Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…    

Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…      

Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…        

Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…           Factor and cancel…

Use when a specific value “c” is given to evaluate… Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…           Substitute x = 1

Use when a specific value “c” is given to evaluate… Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…   This is the same function but there is no “c” to evaluate so we must use the 2nd equation. When doing these, you will get an algebraic answer.

Use when a specific value “c” is given to evaluate… Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…   This is the same function but there is no “c” to evaluate so we must use the 2nd equation. When doing these, you will get an algebraic answer.  

Use when a specific value “c” is given to evaluate… Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…   This is the same function but there is no “c” to evaluate so we must use the 2nd equation. When doing these, you will get an algebraic answer.    

Use when a specific value “c” is given to evaluate… Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…   This is the same function but there is no “c” to evaluate so we must use the 2nd equation. When doing these, you will get an algebraic answer.       You know you have done it correctly when you have terms that ALL contain some degree of “h”

Use when a specific value “c” is given to evaluate… Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…   This is the same function but there is no “c” to evaluate so we must use the 2nd equation. When doing these, you will get an algebraic answer.       You will always factor an “h” out in the numerator …

Use when a specific value “c” is given to evaluate… Limits – Part 2     Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…   This is the same function but there is no “c” to evaluate so we must use the 2nd equation. When doing these, you will get an algebraic answer.         Substitute h = 0

Limits – Part 2       When you have a rational exponent involved, some creative Algebra is needed to simplify the quotient…

Limits – Part 2       When you have a rational exponent involved, some creative Algebra is needed to simplify the quotient…  

Limits – Part 2       When you have a rational exponent involved, some creative Algebra is needed to simplify the quotient…     We will need to rationalize the numerator by multiplying by the conjugate of the numerator…

Limits – Part 2       When you have a rational exponent involved, some creative Algebra is needed to simplify the quotient…     I used the difference of squares rule for the numerator… We will need to rationalize the numerator by multiplying by the conjugate of the numerator…  

Limits – Part 2       When you have a rational exponent involved, some creative Algebra is needed to simplify the quotient…      

Limits – Part 2       When you have a rational exponent involved, some creative Algebra is needed to simplify the quotient…      

Limits – Part 2       When you have a rational exponent involved, some creative Algebra is needed to simplify the quotient…         Substitute h = 0 and simplify

Limits – Part 2      

Limits – Part 2        

Limits – Part 2            

Limits – Part 2             Distributed negative…

Limits – Part 2               Simplified…

Limits – Part 2               Factored out “h”…

Limits – Part 2                

Limits – Part 2