Question

How do you evaluate the limit of `-x^4+x^3-2x+1` as `x->-1`?

Answer 1

`lim_(x->-1) -x^4 + x^3 - 2x +1 = 1`

Explanation:

If `x-> -1`, then

`-x^4 + x^3-2x+1 -> -(-1)^4 + (-1)^3 -2(-1)+1`

Therefore,

`lim_(x->-1)-x^4 + x^3 - 2x +1 = -1 -1 + 2 + 1 = 1`.