iran-konkur 2016 Q114

iran-konkur · Other · konkur-riazi_1395_specialized Not Maths
114. The limit of the expression $\dfrac{1}{x^2}(1 - x^2[\dfrac{1}{x^2}])$ as $x \to 0$, which value is correct? (The symbol $[\ ]$ denotes the floor function.)
(4) Does not exist (3) $\infty$ (2) $1$ (1) zero
\textbf{114.} The limit of the expression $\dfrac{1}{x^2}(1 - x^2[\dfrac{1}{x^2}])$ as $x \to 0$, which value is correct? (The symbol $[\ ]$ denotes the floor function.)

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(4) Does not exist \hfill (3) $\infty$ \hfill (2) $1$ \hfill (1) zero

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