For a differentiable function of :

The following question is about limits and a differentiable function

5 . For a differentiable function of : ( 0 ,co ) consider the implications( 1) lim + 10of' ( + ) = 0 - lime too ( f ( t ) / t ) = 0( $1 ) lime - 100 ( f ( t ) / t ) = 0 - lime roof ( t ) = 0One is true and the other is false ; prove the true and give a counterexamplefor the false