Sum up these logs

Calculus Level 4

lim ⁡ n → ∞ 1 n [ ln ⁡ ( 1 ) + ln ⁡ ( 1 + 1 n ) + ln ⁡ ( 1 + 2 n ) + … + ln ⁡ ( 2 ) ] = ? \displaystyle \lim_{n\rightarrow \infty} \dfrac{1}{n} \left[ \ln(1) + \ln\left( 1 + \dfrac{1}{n} \right) + \ln\left( 1 + \dfrac{2}{n}\right) + \ldots + \ln(2) \right] = \ ?

ln ⁡ 4 \ln 4 ln ⁡ 2 − ln ⁡ e \ln 2 - \ln e ln ⁡ ( 4 e ) \ln\left(\dfrac{4}{e}\right) ln ⁡ e \ln e 3 ln ⁡ 2 − ln ⁡ 4 3 \ln 2 - \ln 4 ln ⁡ 4 + 1 \ln 4 + 1 None of these

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Akhil Bansal by Akhil Bansal , 22, India

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1 solution

Raj Rajput
Oct 17, 2015

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