iran-konkur 2016 Q110

iran-konkur · Other · konkur-riazi_1395_specialized Not Maths
110. The limit of the expression $[\tan^2 x] + [\cos 3x + [\sin(x - \dfrac{\pi}{2})]]$ as $x \to \dfrac{\pi}{2}$, which value is correct? (The symbol $[\ ]$ denotes the floor function.)
(4) Does not exist (3) $2$ (2) $2$ (1) $1$
\textbf{110.} The limit of the expression $[\tan^2 x] + [\cos 3x + [\sin(x - \dfrac{\pi}{2})]]$ as $x \to \dfrac{\pi}{2}$, which value is correct? (The symbol $[\ ]$ denotes the floor function.)

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

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