perplexus.info :: Just Math : Functional feast

Functional feast (Posted on 2020-10-17)

Let f(x) is an odd function on R, f(1)=1 and f(x/(x-1))=xf(x) for all x<0. Find the value of

f(1)f(1/100)+f(1/2)f(1/99)+f(1/3)f(1/98)+...+f(1/50)f(1/51).

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): A start - a finish

Comment 3 of 3 |

(In reply to re: A start - a finish by Brian Smith)

Excellent! Thanks, Brian

Posted by Steve Herman on 2020-10-17 18:18:40

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