Question

Answer to problem

limit: x ----> 4.9
equation is: (x^2+4x-43.61)/(x^2-0.2x-23.03)

Answer 1

does not exist

Explanation:

The numerator has no real zeros. The denominator factors as ...

(x +4.7)(x -4.9)

so the expression has a vertical asymptote at x=4.9. It changes sign there, so the left limit is -∞ and the right limit is ∞. The limit does not exist.