Find the limit, if it exists. lim x → ∞ x^2/√(x^4 + 9)

Answer 1

Answer 2

First, divide the numerator and denominator by x²

1. (x²/x²)/√(x⁴/x⁴ + 9/x⁴) = 1/√(1 + 9/x⁴)
2. As x approaches infinity, 9/x⁴ approaches 0, so the equation simplifies to 1/√(1) = 1
3. Answer:
4. as x approaches infinity, x²/√(x⁴ + 9) = 1