Monday, September 17, 2018

indeterminate forms; definition


lim is an indeterminate form whereas \lim_{x\to 0} \frac{[x^2]}{x^2} is not an interminate form (where [x] represents the greatest integer function



Why is \lim_{x\to 0} \frac{[x^2]}{x^2} not in indeterminate form?


As far as I know, \frac{[x^2]}{x^2} gives a \frac{0}{0} at 0. What is the exact definition of 'indeterminate form'? Wikipedia does not help answer this question.

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