Asked by susan
limit as x approaches negative infinity for the function (-x)/(sqr root (x^2-36))
Answers
Answered by
drwls
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
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