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 Apr22 revised subideals of an ideal added 4 characters in body Apr22 answered subideals of an ideal Apr16 awarded Informed Dec18 awarded Caucus Jul2 awarded Curious May10 awarded Nice Question Mar5 awarded Critic Mar5 comment Definite Integrals involving indeterminate quantities like log 0 @5xum here it is $\frac{\infty}{\infty}$ form Mar5 comment Definite Integrals involving indeterminate quantities like log 0 @user133241 hint: Use L-Hospital rule. Mar5 awarded Autobiographer Jan16 accepted Evaluate the series Jan15 comment Evaluate the limit of the integral of the sequence of function @labbhattacharjee : so S=$\frac{1}{2}$, for that reason I have told limit is $\frac1{2}$. Thanks! Jan15 comment Evaluate the series @DavidMitra Please give one more hint. Jan15 asked Evaluate the series Jan15 comment Evaluate the limit of the integral of the sequence of function @lab bhattacharjee :Is the limit equal to 1/2 Jan15 comment Evaluate the limit of the integral of the sequence of function @PraphullaKoushik Yes i think limit is 1/2. sorry for previous one Jan15 accepted Evaluate the limit of the integral of the sequence of function Jan15 comment Evaluate the limit of the integral of the sequence of function @PraphullaKoushik I have done $\int_{0}^{1}\frac{x^{n-1}}{1+x}\,dx=\frac{1}{n}-\frac{1}{n+1}+\frac{1}{n+2}-...$. Then I cannot do anything. Jan15 asked Evaluate the limit of the integral of the sequence of function Jan15 accepted Evaluate the limit $a_{n+1}=\lambda a_n^2(1-a_n)$