limit as x approaches infinity of (2x+1)/2

Lösung

x \to \infty lim (\frac{2 x + 1}{2})

\infty

Schritte zur Lösung

x \to \infty lim (\frac{2 x + 1}{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 (2 x + 1)

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

mit Einschränkung des unbestimmten Ausdrucks

= \frac{1}{2} (x \to \infty lim (2 x) + x \to \infty lim (1))

x \to \infty lim (2 x) = \infty

x \to \infty lim (1) = 1

= \frac{1}{2} (\infty + 1)

Vereinfache

\frac{1}{2} (\infty + 1) : \infty

= \infty

\frac{d}{d x} ((2 + (x^{2} + 1)^{4})^{3})

\int 2 x sin (4 x) d x

\frac{d}{d x} (\frac{x - 22}{x - 22})

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\frac{d}{d y} (\frac{x ^{2} y}{x ^{2} + y ^{2}})