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

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

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

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

diverges

Solution steps

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

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

= diverges

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

x \to - \infty lim (x, 0)

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

x \to \infty lim (x + 10)

x \to 0 lim (\frac{sin ( 0 )}{x})

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