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Consider limx5 f(x), where f(x) = 7x + 8Find a maximum value of 8 such that:f(x) 430.005 if |x - 51 < 8(Use decimal notation. Give your answer to six decimal places.)

Question
Consider limx5 f(x), where f(x) = 7x + 8
Find a maximum value of 8 such that:
f(x) 430.005 if |x - 51 < 8
(Use decimal notation. Give your answer to six decimal places.)
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Consider limx5 f(x), where f(x) = 7x + 8 Find a maximum value of 8 such that: f(x) 430.005 if |x - 51 < 8 (Use decimal notation. Give your answer to six decimal places.)

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Step 1

It is given that f(x) = 7x...

So
lim f(x)lim(7x +8)
x5
x5
=7(2)+8
22
Now find the delta as follows.
(x)-43< 0.005
7x +8-430.005
7x- 35<0.005
7 (x-5)0.005
7
7
|x-5/<0.005
7
x-50.000714
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So lim f(x)lim(7x +8) x5 x5 =7(2)+8 22 Now find the delta as follows. (x)-43< 0.005 7x +8-430.005 7x- 35<0.005 7 (x-5)0.005 7 7 |x-5/<0.005 7 x-50.000714

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