Monday, September 17, 2018

indeterminate forms; definition


$\lim_{x\to 0} \frac{x}{x}$ 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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