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Which of the Following Statements Are True?
A xax \neq a

Question 82

Multiple Choice

Which of the following statements are true?
A. If xax \neq a , then xa<0| x - a | < 0 .
B. If xa>0| x - a | > 0 , then xax \neq a .
C. xx is a solution of 0<xa<δ0 < | x - a | < \delta if, and only if, aδ<x<a+δa - \delta < x < a + \delta .
D. lim(3x1) =5\lim ( 3 x - 1 ) = 5 means that for all δ>0\delta > 0 , there is some ε>0\varepsilon > 0 such that if 0<x5<δ^0 < | x - 5 | < \hat { \delta } , then (x23x1) 2<ε\left| \left( \begin{array} { c } x \rightarrow 2 \\ 3 x - 1 \end{array} \right) - 2 \right| < \varepsilon .


A) Only A is true.
B) A and D are true.
C) B and C are true.
D) B and D are true.

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