using l'hopsital's rule:
find the limit as t approaches 1 of sin(pi t) / 1 - ln t
the derivative of the numerator PI cosPIt
derivative of the denominator -1/t
Limit is -PI/1
check that.
find the limit as t approaches 1 of sin(pi t) / 1 - ln t
derivative of the denominator -1/t
Limit is -PI/1
check that.