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Question Number 162939 by mnjuly1970 last updated on 02/Jan/22

    lim_( x→ 3)  ( a ⌊x ⌋ + ⌊ −x⌋).tan(((πx)/2) )=−∞               a ∈ ?

$$ \\ $$$$\:\:{lim}_{\:{x}\rightarrow\:\mathrm{3}} \:\left(\:{a}\:\lfloor{x}\:\rfloor\:+\:\lfloor\:−{x}\rfloor\right).{tan}\left(\frac{\pi{x}}{\mathrm{2}}\:\right)=−\infty \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{a}\:\in\:? \\ $$$$ \\ $$

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