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

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

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

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

\infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{2 - \frac{1}{x}}

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

For

x

approaching

\frac{1}{2}

from the right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

\int_{0}^{4} (5 - t) t d t

\frac{d}{d x} ((sin (2 x))^{2})

\int_{- 5}^{0} ∣ x + 3 ∣ d x

\int_{1}^{4} (\frac{6}{x ^{2}}) d x

y^{^{'}} = \frac{t}{y}

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