Question

Horizontal asymptotes

Answer 1

\[y=\frac{ x }{ \sqrt{x^2+1} }\]
What is the horizontal asymptote for this?

Answer 2

As x increases without bound, y =x/(sqrt(x^2 + 1) gets closer and closer to the horizontal line y = ?

As x decreases without bound, y =x/(sqrt(x^2 + 1) gets closer to the horizontal line with equation y = ?

Suggestion: Go to desmos.com and draw the graph of y = y =x/(sqrt(x^2 + 1) .

Answer 3

Hint: There are two horizontal asymptotes.