What is the limit as x approaches infinity of ax^4+bx^2+c ?

The limit as x approaches infinity of ax^4+bx^2+c is infinity

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limit as x approaches infinity of ax^4+bx^2+c

x \to \infty lim (a x^{4} + b x^{2} + c)

\infty

Solution steps

x \to \infty lim (a x^{4} + b x^{2} + c)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (a x^{4}) + x \to \infty lim (b x^{2}) + x \to \infty lim (c)

x \to \infty lim (a x^{4}) = \infty

x \to \infty lim (b x^{2}) = \infty

x \to \infty lim (c) = c

= \infty + \infty + c

Simplify

\infty + \infty + c : \infty

= \infty

x \to 0 lim (\frac{3 x - 1}{2 x})

\int_{0}^{1} \frac{ln ( x )}{x} d x

\frac{\partial}{\partial x} (s cos (t))

\int \frac{1}{x ^{4} x ^{2} - 3} d x

\frac{d}{d u} (arctan (\frac{u}{v}))

What is the limit as x approaches infinity of ax^4+bx^2+c ?
The limit as x approaches infinity of ax^4+bx^2+c is infinity