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Question Number 187810    Answers: 1   Comments: 2

Question Number 187828    Answers: 1   Comments: 0

Question Number 187827    Answers: 2   Comments: 0

Question Number 187826    Answers: 0   Comments: 0

Question Number 187819    Answers: 1   Comments: 0

Question Number 187818    Answers: 1   Comments: 0

1. lim_(x→0) (√x)=? 2. lim_(x→2) (√(x−2))=? solution please

$$\mathrm{1}.\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\sqrt{\mathrm{x}}=? \\ $$$$\mathrm{2}.\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\sqrt{\mathrm{x}−\mathrm{2}}=? \\ $$$$\mathrm{solution}\:\mathrm{please} \\ $$

Question Number 187817    Answers: 2   Comments: 0

Question Number 187808    Answers: 1   Comments: 0

Question Number 188234    Answers: 0   Comments: 0

Question Number 187804    Answers: 0   Comments: 0

Question Number 187790    Answers: 2   Comments: 0

Question Number 187789    Answers: 1   Comments: 0

Question Number 187780    Answers: 1   Comments: 0

solve ⌊ (1/(4 )) + 2^( x) ⌋ + ⌊ (1/2) + 2^( x+1) ⌋=1

$$ \\ $$$$\:\:{solve} \\ $$$$\:\:\:\:\lfloor\:\:\frac{\mathrm{1}}{\mathrm{4}\:}\:+\:\mathrm{2}^{\:{x}} \:\rfloor\:+\:\lfloor\:\frac{\mathrm{1}}{\mathrm{2}}\:+\:\mathrm{2}^{\:{x}+\mathrm{1}} \:\rfloor=\mathrm{1} \\ $$$$ \\ $$

Question Number 187776    Answers: 2   Comments: 0

Question Number 187774    Answers: 2   Comments: 0

Question Number 187765    Answers: 3   Comments: 0

Question Number 187762    Answers: 0   Comments: 0

if point P is any point inside △ABC with side lenghts a,b and c. prove that; ((PA)/a) + ((PB)/b) + ((PC)/c) ≥ (√(3 ))

$$ \\ $$$$\:\:\:\:\:\:\boldsymbol{{if}}\:\boldsymbol{{point}}\:\boldsymbol{{P}}\:\:\boldsymbol{{is}}\:\boldsymbol{{any}}\:\boldsymbol{{point}}\:\boldsymbol{{inside}}\:\:\: \\ $$$$\:\:\:\:\:\:\:\bigtriangleup\boldsymbol{{ABC}}\:\:\boldsymbol{{with}}\:\boldsymbol{{side}}\:\boldsymbol{{lenghts}}\:\boldsymbol{{a}},\boldsymbol{{b}}\:\boldsymbol{{and}}\:\boldsymbol{{c}}.\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\boldsymbol{{prove}}\:\boldsymbol{{that}}; \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\boldsymbol{{PA}}}{\boldsymbol{{a}}}\:+\:\frac{\boldsymbol{{PB}}}{\boldsymbol{{b}}}\:+\:\frac{\boldsymbol{{PC}}}{\boldsymbol{{c}}}\:\geqslant\:\sqrt{\mathrm{3}\:} \\ $$$$ \\ $$

Question Number 187760    Answers: 1   Comments: 2

Question Number 187754    Answers: 1   Comments: 0

Question Number 187752    Answers: 0   Comments: 5

Question Number 187759    Answers: 0   Comments: 0

$$\: \\ $$

Question Number 187731    Answers: 4   Comments: 0

Question Number 187730    Answers: 1   Comments: 0

Evaluate lim(x,y)→(0,0) ((x^2 (y−1)^2 )/(x^2 +(y−1)^2 ))

$$\:{Evaluate}\: \\ $$$${lim}\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)\:\frac{{x}^{\mathrm{2}} \left({y}−\mathrm{1}\right)^{\mathrm{2}} }{{x}^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} } \\ $$

Question Number 187729    Answers: 0   Comments: 0

Question Number 187721    Answers: 1   Comments: 0

Question Number 187716    Answers: 2   Comments: 0

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