What is the limit as x approaches 4 of ((2))/(x-4) ?

The limit as x approaches 4 of ((2))/(x-4) is diverges

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limit as x approaches 4 of ((2))/(x-4)

x \to 4 lim (\frac{( 2 )}{x - 4})

diverges

Solution steps

x \to 4 lim (\frac{2}{x - 4})

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

then the limit does not exist

x \to 4 + lim (\frac{2}{x - 4}) = \infty

x \to 4 - lim (\frac{2}{x - 4}) = - \infty

= diverges

x \to 2 - lim (\frac{2 x}{x ^{2} - 4})

y^{^{''}} + 8 y^{^{'}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = - 10

x \to - 2 + lim (\frac{- 7 x}{x + 2})

\int 7 \cdot tan^{3} (x) sec (x) d x

f (x) = 4 x^{2} + 9 x

What is the limit as x approaches 4 of ((2))/(x-4) ?
The limit as x approaches 4 of ((2))/(x-4) is diverges