3.
use the graph below to evaluate the limit as x approaches 2 of f of x :

graph of a function that increases for x greater than or equal to 0 and less than 2 and decreases for x greater than 2 and less than or equal to 4. the point (2, 3) is marked on the graph (5 points)

0

2

3

4

2

Step-by-step explanation:

Let be a real number.

equals if:

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means what does get close to as we move closer to 2 from the left. Please look at the orange to see what that looks like visually.

We see that tends to .

This means:

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means what does get close to as we move closer to 2 from the right. Please look at the blue to see what that looks like visually.

We see that tends to .

This means:

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Therefore,

.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2