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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 0 lim (5^{x} + x^{5})

x \to 0 - lim (x^{2} - \frac{6}{x})

x \to 0 lim (cot (11 x))

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

x \to 1 lim (3 x - 5)

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