Determine the value of _ t 2 (t-2) ( t) ! ( 2 (t-2) ) .

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

Problem

Determine the value of lim⁡t→2(t−2)cos⁡(πt)sin⁡ ⁣(π2(t−2)).\lim_{t\to 2} \frac{(t-2)\cos(\pi t)}{\sin\!\left(\tfrac{\pi}{2}(t-2)\right)}.

Related theory

Browse the problem library