What is the limit as x approaches 4 of (5x)/(x-4) ?

The limit as x approaches 4 of (5x)/(x-4) is diverges

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limit as x approaches 4 of (5x)/(x-4)

x \to 4 lim (\frac{5 x}{x - 4})

diverges

Solution steps

x \to 4 lim (\frac{5 x}{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{5 x}{x - 4}) = \infty

x \to 4 - lim (\frac{5 x}{x - 4}) = - \infty

= diverges

f (x) = x^{2} - 9 x, at P (x) = 3, - 15

y = x^{4} + 8 e^{x}, (0, 8)

\frac{d}{d x} (c x e^{2 x})

\int sin (21 x) \cdot sin (2 x) \cdot sin (x) d x

x \to 3 - lim (x^{3} - 3 x - 7)

What is the limit as x approaches 4 of (5x)/(x-4) ?
The limit as x approaches 4 of (5x)/(x-4) is diverges