What is the limit as x approaches 2-of 5x^3-2/(x-2) ?

The limit as x approaches 2-of 5x^3-2/(x-2) is infinity

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limit as x approaches 2-of 5x^3-2/(x-2)

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

\infty

Solution steps

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

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

x \to 2 - lim (5 x^{3}) = 40

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

= 40 - (- \infty)

Simplify

40 - (- \infty) : \infty

= \infty

9

\int_{- 6}^{6} \frac{1}{v} d v

y = ln (2^{3})

\frac{d}{d x} (\frac{x ^{2}}{sin ( x )})

n = 1 \sum \infty (3 n) x^{n}

What is the limit as x approaches 2-of 5x^3-2/(x-2) ?
The limit as x approaches 2-of 5x^3-2/(x-2) is infinity