Unattributed TMUA Mock Set B Paper 1 · Question 17

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Unattributed TMUA Mock Set B Paper 1 · Q17

Paper 1GeometryFunctions & graphsPowers & logarithmsNumber & counting

We define the slope of the tangent for the function $f(x)=\ln x$ at $x=n$ ( $n$ is an integer) as $a_n$ . Then what is the value of $a_1a_2+a_2a_3+a_3a_4+\cdots+a_{2010}a_{2011}$ ?

\frac{2010}{2011}

\frac{2009}{2010}

\frac{2009}{2011}

\frac{2011}{2012}

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