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

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

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

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

diverges

Solution steps

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

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 x + 1}{x - 3}) = \infty

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

= diverges

x \to \infty lim ((- 2)^{x})

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

x \to 2 lim (\frac{5}{( x - 2 ) ^{3}})

x \to 0 lim (12 x cot (9 x))

x \to \infty lim (\frac{ln ( 1 + e ^{x} )}{12 x + 11})

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