At $$t=0,$$ the function $$f\left( t \right) = {{\sin t} \over t}\,\,$$ has

Consider the function $$f\left( x \right) = {\left( {{x^2} - 4} \right)^2}$$ where $$x$$ is a real number. Then the function has

For the function $$f\left( x \right) = {x^2}{e^{ - x}},$$ the maximum occurs when $$x$$ is equal to

If $$S = \int\limits_1^\infty {{x^{ - 3}}dx} $$ then $$S$$ has the value