Cubic polynomial/Continuity/Explicit/2/Exercise

For the function

${}f(x)=x^{3}+5x^{2}-3x+2\,$

and the point ${}a=3$, determine for ${}\epsilon ={\frac {1}{100}}$ an explicite ${}\delta >0$ such that

${}d(x,a)\leq \delta \,$

implies the estimate

${}d(f(x),f(a))\leq \epsilon \,.$

Create a solution