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kenneth A.로스 (Ross) 해석학 솔루션 입니다 7장~36장

등록일 : 2014-03-17
갱신일 : 2016-11-29


  kenneth A.Ross 해석학 솔루션입니다 7장~36장.zip   [size : 1,643 Kbyte]
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HWP 파일로 되있구요.
7장 ~ 36장까지 있습니다.
미리보기 확인하시고 다운 바랍니다.
Exercises 1

1. Prove that for all natural numbers .
proof)
Let .
Since , is true.
Suppose that is true. i.e.






So, is true.
By mathematical Induction, is true for all natural numbers .


2. Prove for all natural numbers .
proof)
Let .
Since , is true.
Suppose that is true. i.e.




So, is true.
By mathematical Induction, is true for all natural numbers .



3. Prove for all natural numbers .
proof)
Let .
Since , is true.
Suppose that is true. i.e.






So, is true.
By mathematical Induction, is true for all natural numbers .


4. (a) Guess a formula for by evaluating the sum for and . [For , the sum is simply .]
sol.)




So, we guess .

(b) Prove your formula using mathematical induction.
proof)
Let .
Since , is true.
Suppose that is true. i.e.



So, is true.
By mathematical Induction, is true for all natural n
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해석학   kenneth   로스   Ross   입니다   7장~36장