1)Explain what each of the following mathematical statements mean in regard to t

Question

1)Explain what each of the following mathematical statements mean in regard to the graph of f(x).With your explanation, include a DIAGRAM for each part.Also Indicate whether the statement refers to a VERTICAL ASYMPTOTE, HORIZONTAL ASYMPTOTE, or NEITHER. State the equation of the asymptote where applicable. 1i)f(1)=0 ii)lim (X-->0) f(x)=-infinity iii)lim(x-->2+) f(x)= - inifinity iv)lim (x-->2-) f(x)=infinity v)lim(+ or - infinity) f(x)=0

Explanation / Answer

1i)f(1)=0 ; neither; ii)lim (X-->0) f(x)=-infinity ; neither iii)lim(x-->2+) f(x)= - inifinity iv)lim (x-->2-) f(x)=infinity ; x=2 is vertical asymptote v)lim(+ or - infinity) f(x)=0

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