What is the limit as x approaches 6 of (2x)/(x^2-36) ?

The limit as x approaches 6 of (2x)/(x^2-36) is diverges

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limit as x approaches 6 of (2x)/(x^2-36)

x \to 6 lim (\frac{2 x}{x ^{2} - 36})

diverges

Solution steps

x \to 6 lim (\frac{2 x}{x ^{2} - 36})

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

then the limit does not exist

x \to 6 + lim (\frac{2 x}{x ^{2} - 36}) = \infty

x \to 6 - lim (\frac{2 x}{x ^{2} - 36}) = - \infty

= diverges

x \to 0 + lim ((1 - 3 x)^{\frac{2}{x}})

x \to e + lim (\frac{1}{x ln ( x - 1 )})

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

x \to 1 - lim (ln (x) ln (1 - x))

x \to 0 lim (x csc (2 x))

What is the limit as x approaches 6 of (2x)/(x^2-36) ?
The limit as x approaches 6 of (2x)/(x^2-36) is diverges