If x+y=0, evaluate tan^-1frac{a1x-y}{a1y...

If `x+y=0`, evaluate `tan^-1frac{a_1x-y}{a_1y+x}+tan^-1frac{a_2-a_1}{a_1a_2+1}+tan^-1frac{a_3-a_2}{a_2a_3+1}+...+tan^-1frac{a_n-a_(n-1)}{a_(n-1)a_n+1}+tan^-1frac{1}{a_n}`

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