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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 2 lim (15)

x \to 0 lim (\frac{e ^{x}}{x ^{4}})

x \to 0 lim (ln ((x + 1)^{x}))

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

x \to 0 lim ((x^{2} + 1) cos (x))

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