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

The limit as x approaches infinity of ((xe^{2x}))/2 is infinity

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limit as x approaches infinity of ((xe^{2x}))/2

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

\infty

Solution steps

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

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

With the exception of indeterminate form

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

x \to \infty lim (x) = \infty

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

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

Apply Infinity Property:

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

= \infty

\frac{\partial}{\partial x} (y + arctan (\frac{y}{x}))

\frac{\partial}{\partial y} (x^{3} - y^{2})

ln (6 x + 1)

x \to \infty lim (\frac{e ^{5 x - 3}}{ln ( x - 2 )})

f (x) = cos (a^{8} + x^{8})

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