Question

Evaluate the following limit:

lim x --> negative infinity

9 square root over x^2-1
divided by
x + 4

Answer 1

I assume you want
Lim 9 sqrt(x^2-1)/(x+4)
x-> -inf

When x becomes very large and negative, the numerator approaches 9|x| (assuming you take only the positive square root) and the denominator approaches x. The fraction therefore approaches -9.