What is the limit as x approaches infinity of f(x)x ?

The limit as x approaches infinity of f(x)x is infinity

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limit as x approaches infinity of f(x)x

x \to \infty lim (f (x) x)

\infty

Solution steps

x \to \infty lim (f (x) 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

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

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

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

= f \cdot \infty \cdot \infty

Simplify

f \cdot \infty \cdot \infty : \infty

= \infty

\int 8 ln (x) d x

\frac{d}{d x} (x^{8} ln (9 x))

y^{^{'}} + 2 y = 3, y (0) = 0

\frac{d}{d x} (4^{s i n^{2} (x) + c o s (3 x)})

What is the limit as x approaches infinity of f(x)x ?
The limit as x approaches infinity of f(x)x is infinity