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

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

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

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

diverges

Solution steps

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

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

= diverges

\int_{0}^{π} x cos (3 x) d x

t^{2} y^{^{''}} + 9 t y^{^{'}} + 7 y = 0

\int \frac{x}{x ^{2} - 3 x + 2} d x

\int \frac{y ^{2} + 2 y + 1}{( y ^{2} + 1 ) ^{2}} d y

4 y^{^{''}} + 28 y^{^{'}} + 49 y = 0

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