# Formal Definition of a Limit at a Point - Page 2

Questions

- How do you find the limit using the epsilon delta definition?
- How do you prove that the limit of #(x^2)sin(1/x)=0 # as x approaches 0 using the epsilon delta proof?
- What is an example of a function where the limit as x approaches 3 is the same as the function value at x=3?
- How do you prove that the limit of #(1-5x) = 16# as x approaches -3 using the epsilon delta proof?
- How do you prove that the limit of # (x^3*y^2)/(x^2+y^2)# as (x,y) approaches (0,0) using the epsilon delta proof?
- How do you find the Limit of #x+3# as #x->2# and then use the epsilon delta definition to prove that the limit is L?
- How do you use the epsilon delta definition to prove a limit exists?
- How do you evaluate limit of #(x^a-1)/(x^b-1)# as x approaches 1?
- How do you find the Limit of #1/2x-1# as #x->-4# and then use the epsilon delta definition to prove that the limit is L?
- How do you prove that the limit #x^2 cos(1/x) = 0# as x approaches 0 using the formal definition of a limit?
- How do you use the formal definition of a limit to find #1/(x - 3) = 0# as x approaches infinity?
- How do you prove that the limit of #(3x+2)=8 # as x approaches 2 using the epsilon delta proof?
- How do you prove that the limit of #(x+3)=5# as x approaches 2 using the epsilon delta proof?
- What is the formal definition of limit?
- How do you prove that the limit #(x^2) = 4# as x approaches 2 using the formal definition of a limit?
- How do you find the Limit of #x^2+1# as #x->1# and then use the epsilon delta definition to prove that the limit is L?
- How do you prove that the limit # (1-9x^2) / (1-3x) = 2# as x approaches 1/3 using the formal definition of a limit?
- How do you prove that the triad of graphs of #y = cosh x , y = sinh x# and ( their bisector in the y-direction ) #y =(1/2) e^x# becomes asymptotic, as #x to oo#?
- Consider the line f(x)=mx+b, where m does not equal 0, how do you use the epsilon delta definition of a limit to prove that the limit f(x)=mc+b as x approaches c?
- How do you prove that the limit of #x^2 = 0# as x approaches 0 using the epsilon delta proof?