Given fx 4x8 2x2 2x 2 find limx rightarrow 8 fx Does not

Given: f(x) = -4x^8 + 2x^2 + 2x + 2, find lim_x rightarrow -8 f(x). Does not exist -4 0 2 4 None of the above.

Solution

Again, this too is a polynomial

So, the infinite limit is defined only by the leading term, which here is -4x^8

And we have lim x ---> -inf

Lets plug it in and analyze....

-4x^8
-4(-inf)^8
-4(+inf)
-4inf
or just -infinity

So, the limit is -infinity

Option F