Question
Asked Nov 17, 2019
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Problem in Image please

Calculate the limit for the function f(x) = 33 - 11x and interval [2, 6]. Verify your answer by using geometry
(Give your answer as a whole or exact number.)
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Calculate the limit for the function f(x) = 33 - 11x and interval [2, 6]. Verify your answer by using geometry (Give your answer as a whole or exact number.)

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Expert Answer

Step 1

We have to essentially evaluate the limit shown on the white board.

[a, b] = [2, 6] Hence, a = 2, b = 6

Let's split into N sub-intervals. Each sub-interval is therefore of length =Δx = (b - a) / N = (6 - 2) / N = 4/N

N-1
jn ΔΣf(a + iΔε)
No0
i-0
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N-1 jn ΔΣf(a + iΔε) No0 i-0

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Step 2

f(x) = 33 - 11x

f(a + iΔx) = f(2 + 4i / N) = 33 - 11(2 + 4i / N) = 11 - 44i/N

 

Please see the white board.

N-1
44i
N-o0
N
i0
N-1
4
= lim
No N
[11(N - 1)
44 (N 1)N
lim11(N)
N 2
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N-1 44i N-o0 N i0 N-1 4 = lim No N [11(N - 1) 44 (N 1)N lim11(N) N 2

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Step 3

The steps are continued over here. ...

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Tagged in

Math

Calculus

Limits