[latex] \lim_{x\to \infty} ( x^{2} -4 / x^{2} +3)^ x^{2} [/latex]

[latex] \lim_{x \to \infty} (3+x^2 - \frac{4}{x^2}) ^{x^2} \lim_{x \to \infty} (1+(2+x^2 - \frac{4}{x^2}))^({ \frac{1}{2+x^2 - \frac{4}{x^2}) }) ^{(x^2)(2+x^2 - \frac{4}{x^2})} \lim_{x \to \infty} e^{(x^2)(2+x^2 - \frac{4}{x^2})} e^{\lim_{x \to \infty}(x^2)(2+x^2 - \frac{4}{x^2})} e^{\lim_{x \to \infty}(x^2)(2+x^2 - \frac{4}{x^2})} = e^\infty = \infty [/latex]