Limits question for Brief Calc?

Question

Calculate the limit algabraically
What is the limit as x approaches from negative infinity?
(x^6 + 2000x^3 + 5000000) / (5x^6 + 2000x^3)

Answer 1

lim        (x^6 + 2000x^3 + 5000000) / (5x^6 + 2000x^3)

x-->-∞

Take out common factors

lim       x^6(1+2000/x^3+5000000/x^6)/x^6(5+2000/x^3)

x-->-∞

Cancel common terms

lim       (1+2000/x^3+5000000/x^6)/(5+2000/x^3)

x-->-∞

If x-->-∞ then 1/x  ---->0

lim       (1+2000/x^3+5000000/x^6)/(5+2000/x^3)

1/x  ---->0

=1/5

I hope that help u