Question

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

Answer 1

a)

`\lim _(\theta\rightarrow-4^+)(\lvert\theta\rvert)/(\theta)=(-4)/(\theta)=(-4)/(-4)=1`

answer: 1

b)

`\lim _(\theta\rightarrow-4^-)(\lvert\theta\rvert)/(\theta)=(-5)/(\theta)=(-5)/(-4)=(5)/(4)`

answer: 5/4