What is the limit as x approaches 0 of 1-2/(3x) ?

The limit as x approaches 0 of 1-2/(3x) is diverges

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limit as x approaches 0 of 1-2/(3x)

x \to 0 lim (1 - \frac{2}{3 x})

diverges

Solution steps

x \to 0 lim (1 - \frac{2}{3 x})

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

then the limit does not exist

x \to 0 + lim (1 - \frac{2}{3 x}) = - \infty

x \to 0 - lim (1 - \frac{2}{3 x}) = \infty

= diverges

x \to π lim (\frac{cos ( x ) - 1}{x})

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

\int (4 x + x) d x

y = x, at x = \frac{1}{4}

\int \frac{ln ^{5} ( x ^{2} )}{x} d x

What is the limit as x approaches 0 of 1-2/(3x) ?
The limit as x approaches 0 of 1-2/(3x) is diverges