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can some kind soul tell me what is this question asking and how to solve it?

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- Jan 10th 2010, 07:37 AMalexandrabel90differentiable functions
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can some kind soul tell me what is this question asking and how to solve it? - Jan 10th 2010, 08:00 AMabender
The product rule for two functions is given by

Using induction, prove that for any number of functions, the generalized product rule (given to you) holds.

Start with your base case. Assume. Work up. - Jan 10th 2010, 08:05 AMalexandrabel90
may i know what does the LHS N look a like symbol from k=1 to n mean? this is the first time im seeing that symbol thats why.

- Jan 10th 2010, 08:16 AMabender
represents the set of positive integers. 1, 2, 3, ...

represents the set of real numbers.

1, 905, -763, 0.13244, 0, 2/5, anything that is real (read: not imaginary; no i)

represents "the sum of." So,

represents "the product of." So, - Jan 10th 2010, 08:28 AMalexandrabel90
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this is how i have done it..but i got stuck as to how to continue from there.. - Jan 10th 2010, 08:30 AMVonNemo19
- Jan 10th 2010, 08:51 AMalexandrabel90
how do you show that A(n+1) = 0 from my working and hence the equation is true by induction?

- Jan 10th 2010, 10:04 AMabender