kenneth A.로스 (Ross) 해석학 해결책 입니다 7장~36장
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작성일 19-10-08 14:31본문
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해석학,기타,솔루션
7장 ~ 36장까지 있습니다.
Download : kenneth A.Ross 해석학 솔루션입니다 7장~36장.zip( 35 )
솔루션/기타
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HWP 파일로 되있구요.
HWP 파일로 되있구요.7장 ~ 36장까지 있습니다.
kenneth A.로스 (Ross) 해석학 해결책 입니다 7장~36장
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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