Question: KNOWLEDGE: MULTIPLE CHOICE. Identify the choice that best answers the questions. 1 mark each.What does the expression limxaf(x)=L mean?(a)Asx approaches a,f(x) gets arbitrarily close toL.bf(a)=Lcx=a.df(x)is
KNOWLEDGE: MULTIPLE CHOICE. Identify the choice that best answers the questions. 1 mark each.What does the expression limxaf(x)=L mean?(a)Asx approaches a,f(x) gets arbitrarily close toL.bf(a)=Lcx=a.df(x)is undefined atx=a.Which of the following isan example of a removable discontinuity?A hole in the graph atx=a.bx=a.cy-values atx=a.dx approaches a.Iflimx2f(x) does not exist, which of the following is a possible reason?af(2)is undefined.(b) The left-hand limit and right-hand limitatx=2 are different.cf(x)is continuous atx=2.dx=2.For which value ofcis the function f(x) discontinuous atx=c?af(c)=2c(b)limxcf(x)f(c)cf(x)is defined for all real numbers.df(c)isan even function.
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