Evaluate the following limits: lim [(3x^2+4) (4x^2-6)(5x^2+2)/4x^6+2x^4-1] (x ∈ ∞)

Question

 Evaluate the following limits:

\(\lim\limits_{x\longrightarrow∞}[\frac{(3x^2+4)(4x^2-6)(5x^2+2)}{4x^6+2x^4-1}]\)

lim [(3x²+4) (4x²-6)(5x²+2)/4x⁶+2x⁴-1] (x ∈ ∞)

Answer 1

\(\lim\limits_{x\longrightarrow∞}\frac{(3x^2+4)(4x^2-6)(5x^2+2)}{4x^6+2x^4-1}\)

= 15