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

The limit as x approaches 2 of x/(2x-1) is 2/3

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

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

\frac{2}{3}

Decimal

0.66666 \dots

Solution steps

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

Plug in the value

x = 2

= \frac{2}{2 \cdot 2 - 1}

Simplify

= \frac{2}{3}

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

x \to 1 lim (3 x^{2} - 2 x - 1)

x \to 0 lim (x^{2 x + 1})

x \to 0 lim (\frac{x ^{2} + x}{4 x})

x \to 1 lim ((2 - x)^{4 t a n (\frac{π}{2} x)})

What is the limit as x approaches 2 of x/(2x-1) ?
The limit as x approaches 2 of x/(2x-1) is 2/3