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Use the graph of the greatest integer function, y=Lx], to find the limits given below.LO(a) lime0-4+(b) lim0-4-(a) Select the correct choice below and fill in any answer boxes within your choice.LOOA.lim00-4+(Type an integer or a simplified fraction.)OB. The limit does not exist

Use the graph of the greatest integer function yLx to find the limits given belowLOa lime04b lim04a Select the correct choice below and fill in any answer boxes class=


Answer :

a)

[tex]\lim _{\theta\rightarrow-4^+}\frac{\lvert\theta\rvert}{\theta}=\frac{-4}{\theta}=\frac{-4}{-4}=1[/tex]

answer: 1

b)

[tex]\lim _{\theta\rightarrow-4^-}\frac{\lvert\theta\rvert}{\theta}=\frac{-5}{\theta}=\frac{-5}{-4}=\frac{5}{4}[/tex]

answer: 5/4

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