SOLUTION: This is more of a calculus question. We are asked to determine epsilon for which the given limit is true. 1. lim = x^2 - 3x + 4 = 2, where delta (𝛿) = 0.5 𝑥→2

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Question 1192694: This is more of a calculus question. We are asked to determine epsilon for which the given limit is true.
1. lim = x^2 - 3x + 4 = 2, where delta (𝛿) = 0.5
𝑥→2

Answer by ikleyn(52778)   (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.
1. lim = x^2 - 3x + 4 = 2, where delta (𝛿) = 0.5
𝑥→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) ?



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