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

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

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

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

diverges

Solution steps

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

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

= diverges

\int - \frac{3 x}{( x ^{2} - 2 ) ^{3}} d x

\int_{1}^{2} 5 x^{2} - 4 x + 3 d x

\int \frac{1}{x ^{2} + 10} d x

x^{2} y^{^{''}} + x y^{^{'}} + 9 y = 0, y (1) = 0, y^{^{'}} (1) = 2.5

\int \frac{12 x}{e ^{2} - e ^{2 y^{2}}} d x

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