# Evaluate Limit of Step Function

Discussion in 'Calculus' started by nycmathguy, May 5, 2022.

1. ### nycmathguy

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Calculus
Section 2.3

I want to see the graph.
For part (b), I need (ii) and (iii) only.
Yes, part (c) is needed.

nycmathguy, May 5, 2022

2. ### MathLover1

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a.

(i)

(ii)

(iii)

(iv)

MathLover1, May 5, 2022
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3. ### nycmathguy

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How does a step function form a graph that looks like a parabola?

nycmathguy, May 5, 2022
4. ### MathLover1

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The range of f(x)=[[cos x]], − π<=x< =π,where [[ ]] represent greatest integer function less than or equal to x is:

cos[x]=cos(−1)=cos1
cos[x]=cos(0)=1

Required range={cos1,1}

MathLover1, May 5, 2022
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5. ### nycmathguy

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I understand it is the Greatest Integer Function aka the Step Function. I thought the graph of the step function is like a ladder. No? I had no idea that this function can actually form the graph of a parabola.

nycmathguy, May 5, 2022