How do you prove that the limit of (3x+2)=8 as x approaches 2 using the epsilon delta proof? Calculus Limits Formal Definition of a Limit at a Point 1 Answer Alberto P. Nov 10, 2016 delta(epsilon)=epsilon/3 Explanation: abs(f(x)-L)=abs(3x+2-8)=3abs(x-2) Then if we choose delta=epsilon/3 abs(x-2) < delta=\ \ =>\ \ abs(f(x)-L)=3abs(x-2)<3delta=epsilon Answer link Related questions How do you use the epsilon delta definition of limit to prove that lim_(x->5)(x-1)= 4 ? How do you use the epsilon delta definition of limit to prove that lim_(x->1)(x+2)= 3 ? What is the formal definition of limit? How do you use the limit definition to prove a limit exists? What is the definition of limit in calculus? How do you find the limit using the epsilon delta definition? How do you use the epsilon delta definition to prove a limit exists? What is the epsilon delta definition of limit? How do you find values of δ that correspond to ε=0.1, ε=0.05, and ε=.01 when finding the limit... How do you prove that the limit of 3x+5=35 as x approaches 10 using the precise definition of a limit? See all questions in Formal Definition of a Limit at a Point Impact of this question 3969 views around the world You can reuse this answer Creative Commons License