Evaluate _ t 1+t^2 1-t^2 , ^ -1 t, 1-e^ -2t t .

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Evaluate

\lim_{t\to\infty}\left\langle\frac{1+t^2}{1-t^2},\tan^{-1}t,\frac{1-e^{-2t}}{t}\right\rangle.