Let l1, l2 be the tangent and nomal line respectively at the point (p,\ \ln (p \plus{} 1)) on the curve C: y \equal{} \ln (x \plus{} 1).
Denote by T_i\ (i \equal{} 1,\ 2) the areas bounded by l_i\ (i \equal{} 1,\ 2), C and the y axis respectively. Find the limit limp→0T1T2. calculusintegrationlogarithmsgeometrylimitcalculus computations