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Given-n-arc-tan-n-lim-x-n-1-n-




Question Number 31706 by gunawan last updated on 13/Mar/18
Given θ_n = arc tan n , lim_(x→∞)  θ_(n+1) −θ_n =
Givenθn=arctann,limxθn+1θn=
Commented by abdo imad last updated on 18/Mar/18
if the question is find lim_(n→∞) θ_(n+1)  −θ_n  we have  lim θ_(n+1)  −θ_n =lim_(n→∞)  arctan(n+1) −arctann  (π/2) −(π/2)  =0
ifthequestionisfindlimnθn+1θnwehavelimθn+1θn=limnarctan(n+1)arctannπ2π2=0

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