(1.3)32023. If f(x) 5*, show that5h-15f(x +h)-f(x)S h0vish24. Suppose you are offered a job that lasts one month. Whichof the following methods of payment do you prefer?I. One million dollars at the end of the month.II. One cent on the first day of the month, two cents on thesecond day, four cents on the third day, and, in general,2" cents on the nth day.- 1Irawn

Question
Asked Sep 26, 2019

How would I solve 23? Math&151

(1.3)
32
0
23. If f(x) 5*, show that
5h-1
5
f(x +h)-f(x)
S h
0vis
h
24. Suppose you are offered a job that lasts one month. Which
of the following methods of payment do you prefer?
I. One million dollars at the end of the month.
II. One cent on the first day of the month, two cents on the
second day, four cents on the third day, and, in general,
2" cents on the nth day.
- 1
Irawn
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(1.3) 32 0 23. If f(x) 5*, show that 5h-1 5 f(x +h)-f(x) S h 0vis h 24. Suppose you are offered a job that lasts one month. Which of the following methods of payment do you prefer? I. One million dollars at the end of the month. II. One cent on the first day of the month, two cents on the second day, four cents on the third day, and, in general, 2" cents on the nth day. - 1 Irawn

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Step 1

First compute the values that are necessary for the proof as shown below.

f (x+h)5*
f(x)=5" ]
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f (x+h)5* f(x)=5" ]

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Step 2

Now substitute the values in t...

f(x+h)-x) 5*h -5*
h
h
5T.5h-5
h
5"(5-1)
h
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f(x+h)-x) 5*h -5* h h 5T.5h-5 h 5"(5-1) h

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