What is the limit as x approaches infinity of ((e^{x^4-x^2}))/2 ?

The limit as x approaches infinity of ((e^{x^4-x^2}))/2 is infinity

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limit as x approaches infinity of ((e^{x^4-x^2}))/2

x \to \infty lim \frac{( e ^{x^{4} - x^{2}} )}{2}

\infty

Solution steps

x \to \infty lim (\frac{e ^{x^{4} - x^{2}}}{2})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{2} \cdot x \to \infty lim (e^{x^{4} - x^{2}})

Apply the Limit Chain Rule:

\infty

= \frac{1}{2} \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

What is the limit as x approaches infinity of ((e^{x^4-x^2}))/2 ?
The limit as x approaches infinity of ((e^{x^4-x^2}))/2 is infinity