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 -infinity

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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})

- \infty

Solution steps

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

For

x

approaching

\frac{1}{2}

from the left

, x < \frac{1}{2} \Rightarrow 2 x - 1 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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

f (x) = (3 a + 1)^{2}

x \to + 6 lim (36 - x^{2})

x \to + 1 lim (e^{x^{2} - x})

y^{^{'}} + x^{2} sin (y) = 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 -infinity