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Let In=int- 1^1|x|(1+x+(x^2)/2+(x^3)/3+...

Let `I_n=int_- 1^1|x|(1+x+(x^2)/2+(x^3)/3+.....+(x^(2n))/(2n))dx` where `n in N`. If `lim_(n->oo) I_n` can be expressed as a ration number `p/q` in the lowest form, then find the value of p + q

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