limit as x approaches negative infinity for the function (-x)/(sqr root (x^2-36))

Answer 1

sqrt (x^2-36) -> x as x-> -infinity

The limit is therefore -x/|x| -> 1
when x-> -infinity

Check: When x = -1000,
(-x)/(sqr root (x^2-36)) = 1000/999.9 = 1.00002

When x = 100, (-x)/(sqr root (x^2-36)) = 1000/998.2 = 1.0018