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Question Number 143491 by SOMEDAVONG last updated on 15/Jun/21

Find lim_(n→+∝) (u_n ),If  { ((u_0 =1,n=1,2,3,.....)),((u_n = ((2018)/(2019))u_(n−1) + (1/((u_(n−1) )^(2018) )))) :}

Findlimn+(un),If{u0=1,n=1,2,3,.....un=20182019un1+1(un1)2018

Commented by mr W last updated on 15/Jun/21

L=lim_(n→∞) u_n   L=((2018)/(2019))L+(1/L^(2018) )  L^(2019) =2019  L=((2019))^(1/(2019))

L=limnunL=20182019L+1L2018L2019=2019L=20192019

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