What is the limit as x approaches infinity of (1 + x + 2x^5)/(x^5 - 5x^2 +1) ?

Question

What is the limit as x approaches infinity of (1 + x + 2x^5)/(x^5 - 5x^2 +1) ?

Answer 1

Divide the numerator and denominator by x⁵ and the answer will be staring you in the face.