What is the limit as x approaches infinity of-xR(x)C(x) ?

The limit as x approaches infinity of-xR(x)C(x) is -infinity

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limit as x approaches infinity of-xR(x)C(x)

x \to \infty lim (- x R (x) C (x))

- \infty

Solution steps

x \to \infty lim (- x R (x) C (x))

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

= - x \to \infty lim (x R (x) C (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 (x) \cdot x \to \infty lim (R (x)) \cdot x \to \infty lim (C (x))

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

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

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

= - \infty \cdot R \cdot \infty \cdot C \cdot \infty

Simplify

- \infty \cdot R \cdot \infty \cdot C \cdot \infty : - \infty

= - \infty

y^{^{'}} = \frac{( e ^{(x - y)} )}{1 + e ^{x}}, y (1) = 0

\frac{d}{d t} (5 e^{t})

f (x) = x^{4} - 5 x^{2} + 4, at x = 1

f (x) = x^{3} (x - 9)^{2}

\frac{d}{d x} (6 x^{5} - 15 x^{4} + 30 x^{2} - 30 x + 9)

What is the limit as x approaches infinity of-xR(x)C(x) ?
The limit as x approaches infinity of-xR(x)C(x) is -infinity