What is the limit as x approaches 4 of 7/(x-4) ?

The limit as x approaches 4 of 7/(x-4) is diverges

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limit as x approaches 4 of 7/(x-4)

x \to 4 lim (\frac{7}{x - 4})

diverges

Solution steps

x \to 4 lim (\frac{7}{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{7}{x - 4}) = \infty

x \to 4 - lim (\frac{7}{x - 4}) = - \infty

= diverges

x \to 0 lim (3 x^{2} + 5)

ln (x^{2} + 1)

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

\int \frac{9 + x + x ^{2}}{x} d x

(x^{2} + 3) (x^{3} + 5)

What is the limit as x approaches 4 of 7/(x-4) ?
The limit as x approaches 4 of 7/(x-4) is diverges