Question

Find `lim x->0 (h^3+2h^2-7h)/h`?

Answer 1

`-7`

Explanation:

`"we have to eliminate h from the denominator otherwise"`
`"the expression will be undefined"`

`"factorise the numerator "`

`rArr(cancel(h)^1(h^2+2h-7))/cancel(h)^1`

`rArrlim_(hto0)(h^3+2h^2-7h)/h`

`=lim_(hto0)(h^2+2h-7)=-7`