Question

How do you evaluate the limit `-w^3-5w^2-3w+2` as w approaches `-3`?

Answer 1

The expression is a continuous polynomial so just substitute the appropriate value, ie.

`lim_(w rarr -3) (-w^3-5w^2-3w+2)`
`" " = [-w^3-5w^2-3w+2]_(w = -3)`
`" " = -(-27)-5(9)-3(-3)+2`
`" " = 27-45+9+2`
`" " = -7`