What is the limit as x approaches 1/2 of 1/((2x-1)) ?

The limit as x approaches 1/2 of 1/((2x-1)) is diverges

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limit as x approaches 1/2 of 1/((2x-1))

x \to \frac{1}{2} lim (\frac{1}{( 2 x - 1 )})

diverges

Solution steps

x \to \frac{1}{2} lim (\frac{1}{2 x - 1})

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

then the limit does not exist

x \to \frac{1}{2} + lim (\frac{1}{2 x - 1}) = \infty

x \to \frac{1}{2} - lim (\frac{1}{2 x - 1}) = - \infty

= diverges

\int_{1}^{e} \frac{( x ^{2} + x + 1 )}{x} d x

y^{^{''}} + 4 y^{^{'}} - 12 y = 0

(x^{2} - 7) x

x \to 0 lim (\frac{x}{1})

f (x) = 4 x^{3} - 4 x, (1, 0)

What is the limit as x approaches 1/2 of 1/((2x-1)) ?
The limit as x approaches 1/2 of 1/((2x-1)) is diverges