What is the limit as x approaches 0-of x^{10}-1/x ?

The limit as x approaches 0-of x^{10}-1/x is infinity

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limit as x approaches 0-of x^{10}-1/x

x \to 0 - lim (x^{10} - \frac{1}{x})

\infty

Solution steps

x \to 0 - lim (x^{10} - \frac{1}{x})

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 0 - lim (x^{10}) - x \to 0 - lim (\frac{1}{x})

x \to 0 - lim (x^{10}) = 0

x \to 0 - lim (\frac{1}{x}) = - \infty

= 0 - (- \infty)

Simplify

0 - (- \infty) : \infty

= \infty

x \to 1 - lim (\frac{2 x}{x - 1})

x \to π lim (e^{t a n (x)})

x \to - 8 lim (\frac{3 - 4 x}{x + 8})

x \to - 2 lim (\frac{2 - x}{x + 2})

x \to 2 lim (8 + 12 x - 3 x)

What is the limit as x approaches 0-of x^{10}-1/x ?
The limit as x approaches 0-of x^{10}-1/x is infinity