What is the limit as x approaches 6 of (x^2)/(x-6) ?

The limit as x approaches 6 of (x^2)/(x-6) is diverges

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limit as x approaches 6 of (x^2)/(x-6)

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

diverges

Solution steps

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

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

then the limit does not exist

x \to 6 + lim (\frac{x ^{2}}{x - 6}) = \infty

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

= diverges

\frac{d y}{d x} + y^{5} x = - 6 y

y^{^{''}} + 4 y^{^{'}} + 29 y = 0

\int (\frac{2 e ^{x} + e ^{2 x}}{e ^{x}}) d x

\frac{d}{d x} (\frac{6}{( 1 - x ) ^{3}})

\frac{\partial}{\partial x} (x^{2} + 2 y^{2} + 3 z^{2})

What is the limit as x approaches 6 of (x^2)/(x-6) ?
The limit as x approaches 6 of (x^2)/(x-6) is diverges