Let fxn an xn an 1 xn 1 a1 x a0 Prove that limx righ

Let f(x_n) = a_n x^n + a_n - 1 x^n - 1 + .... + a_1 x + a_0 Prove that: lim_x rightarrow infinity f(x) = {infinity, if n is even -infinity, if n is odd when a_n > 0 lim_n rightarrow infinity f(x) = {infinity, if n is odd -infinity, if n is even when a_n

Solution

F(xn)=anxⁿ+a_n-1+.......a₁x+a₀

_{limtxapproch to infinity then when we take n even we got postive infinity becouse we have all postive integers but when we take negative we got negative infinity}