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Ssongoku reacted to PeroK's post in the thread Limit of piecewise function using epsilon delta with
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Alternatively, go back to the requirement that: $$|x^2 - 4| < \epsilon$$Now factorise the left hand side. That's the normal approach. -
Ssongoku reacted to PeroK's post in the thread Limit of piecewise function using epsilon delta with Like.
You need to establish ##\delta## for each ##\epsilon##. You should stay focused on ##|x -2|##.
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Ssongoku reacted to PeroK's post in the thread Limit of piecewise function using epsilon delta with Like.
You can do the two one-sided limits as separate calculations. The limit is ##L## if and only if both one-sided limits are ##L##.
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Ssongoku reacted to pasmith's post in the thread Limit of piecewise function using epsilon delta with Like.
You haven't told us the definition of f. You can assume \epsilon < 8 (a \delta which works for such an \epsilon will also work for any...