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For a natural the following questions : ...

For a natural the following questions :
Now answer the following question :
(1) Express `a_(n+1)` in terms of `a_(n)`
(2) Find `lim_(nrarr0) a_(n)`
(3) Find `lim_(nrarroo) sum_(k=1)^(n) (-1)^(k-1)(a_(k)+a_(k-1))`

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The correct Answer is:
(1) `(1)/(2n+1) - a_(n)` , (2) 0 , (3) `p i/4`
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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -High Level Problem
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