SOLUTION: 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

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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
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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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
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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) ?