Question 1192695
.
This is more of a calculus question. We are asked to determine epsilon for which the given limit is true.

lim = 5x - 3/2 = 1, where delta (𝛿) = 0.1
x-> 1/2
~~~~~~~~~~~~~~~~~~~



Hello,  in Calculus,  if we talk about the limits of functions,


the chain of events and the direction of thoughts is  DIFFERENT: 


        we first assign epsilon,  and then try to find delta.



Then the logic is straightforward,  clear, understandable and coincides with the logic of the definition of a limit.



Here you ask about opposite move:   you consider delta as given and ask about epsilon.



Again:  it is  OPPOSITE  to routine calculus consideration.



So,  I really do not understand the meaning of this exercise:   Is it designed to confuse a reader / (a student) ?