Question

Help me
Find the horizontal asymptote of f(x)=ln(x^2sin^2(x))-ln(x^2+4)

Answer 1

it might pay to use desmos to graph this function

Answer 2

Have you considered properties of logarithms? \(x^{2} + 4 \ne 0\)

\(f(x) = ln\left(\sin^{2}(x)\dfrac{x^{2}}{x^{2}+4}\right)\)

Seems a bit more obvious in that form.

Answer 3

ln(a)-ln(b) = ln(a/b)

Answer 4

Then how I can continue to get a solution