What is the limit as x approaches 0 of 1/(x^{13)} ?

The limit as x approaches 0 of 1/(x^{13)} is diverges

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limit as x approaches 0 of 1/(x^{13)}

x \to 0 lim (\frac{1}{x ^{13}})

diverges

Solution steps

x \to 0 lim (\frac{1}{x ^{13}})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{1}{x ^{13}}) = \infty

x \to 0 - lim (\frac{1}{x ^{13}}) = - \infty

= diverges

(x^{2} + 1) \frac{d y}{d x} = x^{2} (y - 1)

\frac{d}{d x} (x y 1 - \frac{x ^{2}}{4} - \frac{y ^{2}}{9})

f (x) = \frac{x ^{3} + 2 x ^{2} + x - 1}{x}

n = 0 \sum \infty (- 1)^{n} (2)^{n}

f (x) = x^{2} - 2, - 3, 1

What is the limit as x approaches 0 of 1/(x^{13)} ?
The limit as x approaches 0 of 1/(x^{13)} is diverges